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Finding the Third Proportional to 683,116.50 and 1,002,531

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Solution

The third proportional to 683,116.50 and 1,002,531 is: 1,471,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,116.50 : 1,002,531 = 1,002,531 : x
  2. Step 2: Convert to fraction form
    683,116.50/1,002,531 = 1,002,531/x
  3. Step 3: Cross multiply
    683,116.50x = 1,002,531 × 1,002,531
  4. Step 4: Simplify right side
    683,116.50x = 1,005,068,405,961
  5. Step 5: Solve for x
    x = 1,005,068,405,961/683,116.50
  6. Step 6: Final answer
    x = 1,471,298.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.