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Finding the Third Proportional to 414,421 and 619,073

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Solution

The third proportional to 414,421 and 619,073 is: 924,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,421 : 619,073 = 619,073 : x
  2. Step 2: Convert to fraction form
    414,421/619,073 = 619,073/x
  3. Step 3: Cross multiply
    414,421x = 619,073 × 619,073
  4. Step 4: Simplify right side
    414,421x = 383,251,379,329
  5. Step 5: Solve for x
    x = 383,251,379,329/414,421
  6. Step 6: Final answer
    x = 924,787.55

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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.