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Finding the Third Proportional to 256,281.75 and 390,744

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Solution

The third proportional to 256,281.75 and 390,744 is: 595,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,281.75 : 390,744 = 390,744 : x
  2. Step 2: Convert to fraction form
    256,281.75/390,744 = 390,744/x
  3. Step 3: Cross multiply
    256,281.75x = 390,744 × 390,744
  4. Step 4: Simplify right side
    256,281.75x = 152,680,873,536
  5. Step 5: Solve for x
    x = 152,680,873,536/256,281.75
  6. Step 6: Final answer
    x = 595,753.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.