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Finding the Third Proportional to 361,882 and 773,459

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Solution

The third proportional to 361,882 and 773,459 is: 1,653,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,882 : 773,459 = 773,459 : x
  2. Step 2: Convert to fraction form
    361,882/773,459 = 773,459/x
  3. Step 3: Cross multiply
    361,882x = 773,459 × 773,459
  4. Step 4: Simplify right side
    361,882x = 598,238,824,681
  5. Step 5: Solve for x
    x = 598,238,824,681/361,882
  6. Step 6: Final answer
    x = 1,653,132.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.