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Finding the Third Proportional to 522,743.91 and 813,931.59

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Solution

The third proportional to 522,743.91 and 813,931.59 is: 1,267,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,743.91 : 813,931.59 = 813,931.59 : x
  2. Step 2: Convert to fraction form
    522,743.91/813,931.59 = 813,931.59/x
  3. Step 3: Cross multiply
    522,743.91x = 813,931.59 × 813,931.59
  4. Step 4: Simplify right side
    522,743.91x = 662,484,639,304.42
  5. Step 5: Solve for x
    x = 662,484,639,304.42/522,743.91
  6. Step 6: Final answer
    x = 1,267,321.59

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.