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Finding the Third Proportional to 424,740.75 and 643,287.75

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Solution

The third proportional to 424,740.75 and 643,287.75 is: 974,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,740.75 : 643,287.75 = 643,287.75 : x
  2. Step 2: Convert to fraction form
    424,740.75/643,287.75 = 643,287.75/x
  3. Step 3: Cross multiply
    424,740.75x = 643,287.75 × 643,287.75
  4. Step 4: Simplify right side
    424,740.75x = 413,819,129,300.06
  5. Step 5: Solve for x
    x = 413,819,129,300.06/424,740.75
  6. Step 6: Final answer
    x = 974,286.38

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