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Finding the Third Proportional to 256,691 and 399,037

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Solution

The third proportional to 256,691 and 399,037 is: 620,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,691 : 399,037 = 399,037 : x
  2. Step 2: Convert to fraction form
    256,691/399,037 = 399,037/x
  3. Step 3: Cross multiply
    256,691x = 399,037 × 399,037
  4. Step 4: Simplify right side
    256,691x = 159,230,527,369
  5. Step 5: Solve for x
    x = 159,230,527,369/256,691
  6. Step 6: Final answer
    x = 620,319.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.