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Finding the Third Proportional to 360,472,700.25 and 740,055,129.75

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Solution

The third proportional to 360,472,700.25 and 740,055,129.75 is: 1,519,342,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,472,700.25 : 740,055,129.75 = 740,055,129.75 : x
  2. Step 2: Convert to fraction form
    360,472,700.25/740,055,129.75 = 740,055,129.75/x
  3. Step 3: Cross multiply
    360,472,700.25x = 740,055,129.75 × 740,055,129.75
  4. Step 4: Simplify right side
    360,472,700.25x = 547,681,595,069,289,344
  5. Step 5: Solve for x
    x = 547,681,595,069,289,344/360,472,700.25
  6. Step 6: Final answer
    x = 1,519,342,781.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.