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Finding the Third Proportional to 414,421.31 and 619,072.88

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Solution

The third proportional to 414,421.31 and 619,072.88 is: 924,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,421.31 : 619,072.88 = 619,072.88 : x
  2. Step 2: Convert to fraction form
    414,421.31/619,072.88 = 619,072.88/x
  3. Step 3: Cross multiply
    414,421.31x = 619,072.88 × 619,072.88
  4. Step 4: Simplify right side
    414,421.31x = 383,251,224,560.77
  5. Step 5: Solve for x
    x = 383,251,224,560.77/414,421.31
  6. Step 6: Final answer
    x = 924,786.47

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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.