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Finding the Third Proportional to 414,441 and 619,098.75

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Solution

The third proportional to 414,441 and 619,098.75 is: 924,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,441 : 619,098.75 = 619,098.75 : x
  2. Step 2: Convert to fraction form
    414,441/619,098.75 = 619,098.75/x
  3. Step 3: Cross multiply
    414,441x = 619,098.75 × 619,098.75
  4. Step 4: Simplify right side
    414,441x = 383,283,262,251.56
  5. Step 5: Solve for x
    x = 383,283,262,251.56/414,441
  6. Step 6: Final answer
    x = 924,819.85

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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.