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Finding the Third Proportional to 762,344 and 1,016,320

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Solution

The third proportional to 762,344 and 1,016,320 is: 1,354,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,344 : 1,016,320 = 1,016,320 : x
  2. Step 2: Convert to fraction form
    762,344/1,016,320 = 1,016,320/x
  3. Step 3: Cross multiply
    762,344x = 1,016,320 × 1,016,320
  4. Step 4: Simplify right side
    762,344x = 1,032,906,342,400
  5. Step 5: Solve for x
    x = 1,032,906,342,400/762,344
  6. Step 6: Final answer
    x = 1,354,908.47

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.