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Finding the Third Proportional to 621,073.69 and 934,720.31

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Solution

The third proportional to 621,073.69 and 934,720.31 is: 1,406,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,073.69 : 934,720.31 = 934,720.31 : x
  2. Step 2: Convert to fraction form
    621,073.69/934,720.31 = 934,720.31/x
  3. Step 3: Cross multiply
    621,073.69x = 934,720.31 × 934,720.31
  4. Step 4: Simplify right side
    621,073.69x = 873,702,062,600.10
  5. Step 5: Solve for x
    x = 873,702,062,600.10/621,073.69
  6. Step 6: Final answer
    x = 1,406,760.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.