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Finding the Third Proportional to 414,469 and 619,135.88

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Solution

The third proportional to 414,469 and 619,135.88 is: 924,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,469 : 619,135.88 = 619,135.88 : x
  2. Step 2: Convert to fraction form
    414,469/619,135.88 = 619,135.88/x
  3. Step 3: Cross multiply
    414,469x = 619,135.88 × 619,135.88
  4. Step 4: Simplify right side
    414,469x = 383,329,231,712.02
  5. Step 5: Solve for x
    x = 383,329,231,712.02/414,469
  6. Step 6: Final answer
    x = 924,868.28

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