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Finding the Third Proportional to 500,231 and 748,972

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Solution

The third proportional to 500,231 and 748,972 is: 1,121,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,231 : 748,972 = 748,972 : x
  2. Step 2: Convert to fraction form
    500,231/748,972 = 748,972/x
  3. Step 3: Cross multiply
    500,231x = 748,972 × 748,972
  4. Step 4: Simplify right side
    500,231x = 560,959,056,784
  5. Step 5: Solve for x
    x = 560,959,056,784/500,231
  6. Step 6: Final answer
    x = 1,121,400.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.