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Finding the Third Proportional to 329,306,447.81 and 718,957,559.25

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Solution

The third proportional to 329,306,447.81 and 718,957,559.25 is: 1,569,662,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,306,447.81 : 718,957,559.25 = 718,957,559.25 : x
  2. Step 2: Convert to fraction form
    329,306,447.81/718,957,559.25 = 718,957,559.25/x
  3. Step 3: Cross multiply
    329,306,447.81x = 718,957,559.25 × 718,957,559.25
  4. Step 4: Simplify right side
    329,306,447.81x = 516,899,972,002,717,248
  5. Step 5: Solve for x
    x = 516,899,972,002,717,248/329,306,447.81
  6. Step 6: Final answer
    x = 1,569,662,469.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.