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Finding the Third Proportional to 664,241.50 and 932,061.75

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Solution

The third proportional to 664,241.50 and 932,061.75 is: 1,307,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,241.50 : 932,061.75 = 932,061.75 : x
  2. Step 2: Convert to fraction form
    664,241.50/932,061.75 = 932,061.75/x
  3. Step 3: Cross multiply
    664,241.50x = 932,061.75 × 932,061.75
  4. Step 4: Simplify right side
    664,241.50x = 868,739,105,813.06
  5. Step 5: Solve for x
    x = 868,739,105,813.06/664,241.50
  6. Step 6: Final answer
    x = 1,307,866.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.