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Finding the Third Proportional to 727,724.25 and 1,042,044.75

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Solution

The third proportional to 727,724.25 and 1,042,044.75 is: 1,492,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,724.25 : 1,042,044.75 = 1,042,044.75 : x
  2. Step 2: Convert to fraction form
    727,724.25/1,042,044.75 = 1,042,044.75/x
  3. Step 3: Cross multiply
    727,724.25x = 1,042,044.75 × 1,042,044.75
  4. Step 4: Simplify right side
    727,724.25x = 1,085,857,261,002.56
  5. Step 5: Solve for x
    x = 1,085,857,261,002.56/727,724.25
  6. Step 6: Final answer
    x = 1,492,127.36

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.