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Finding the Third Proportional to 414,856.50 and 619,638

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Solution

The third proportional to 414,856.50 and 619,638 is: 925,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,856.50 : 619,638 = 619,638 : x
  2. Step 2: Convert to fraction form
    414,856.50/619,638 = 619,638/x
  3. Step 3: Cross multiply
    414,856.50x = 619,638 × 619,638
  4. Step 4: Simplify right side
    414,856.50x = 383,951,251,044
  5. Step 5: Solve for x
    x = 383,951,251,044/414,856.50
  6. Step 6: Final answer
    x = 925,503.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.