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Finding the Third Proportional to 342,447.75 and 732,417.19

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Solution

The third proportional to 342,447.75 and 732,417.19 is: 1,566,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,447.75 : 732,417.19 = 732,417.19 : x
  2. Step 2: Convert to fraction form
    342,447.75/732,417.19 = 732,417.19/x
  3. Step 3: Cross multiply
    342,447.75x = 732,417.19 × 732,417.19
  4. Step 4: Simplify right side
    342,447.75x = 536,434,936,545.41
  5. Step 5: Solve for x
    x = 536,434,936,545.41/342,447.75
  6. Step 6: Final answer
    x = 1,566,472.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.