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Finding the Third Proportional to 328,352 and 718,983

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Solution

The third proportional to 328,352 and 718,983 is: 1,574,336.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,352 : 718,983 = 718,983 : x
  2. Step 2: Convert to fraction form
    328,352/718,983 = 718,983/x
  3. Step 3: Cross multiply
    328,352x = 718,983 × 718,983
  4. Step 4: Simplify right side
    328,352x = 516,936,554,289
  5. Step 5: Solve for x
    x = 516,936,554,289/328,352
  6. Step 6: Final answer
    x = 1,574,336.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.