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Finding the Third Proportional to 394,764.50 and 564,531.75

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Solution

The third proportional to 394,764.50 and 564,531.75 is: 807,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,764.50 : 564,531.75 = 564,531.75 : x
  2. Step 2: Convert to fraction form
    394,764.50/564,531.75 = 564,531.75/x
  3. Step 3: Cross multiply
    394,764.50x = 564,531.75 × 564,531.75
  4. Step 4: Simplify right side
    394,764.50x = 318,696,096,758.06
  5. Step 5: Solve for x
    x = 318,696,096,758.06/394,764.50
  6. Step 6: Final answer
    x = 807,306.88

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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.