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Finding the Third Proportional to 417,481 and 930,582

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Solution

The third proportional to 417,481 and 930,582 is: 2,074,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,481 : 930,582 = 930,582 : x
  2. Step 2: Convert to fraction form
    417,481/930,582 = 930,582/x
  3. Step 3: Cross multiply
    417,481x = 930,582 × 930,582
  4. Step 4: Simplify right side
    417,481x = 865,982,858,724
  5. Step 5: Solve for x
    x = 865,982,858,724/417,481
  6. Step 6: Final answer
    x = 2,074,304.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.