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Finding the Third Proportional to 361,882 and 773,460

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Solution

The third proportional to 361,882 and 773,460 is: 1,653,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,882 : 773,460 = 773,460 : x
  2. Step 2: Convert to fraction form
    361,882/773,460 = 773,460/x
  3. Step 3: Cross multiply
    361,882x = 773,460 × 773,460
  4. Step 4: Simplify right side
    361,882x = 598,240,371,600
  5. Step 5: Solve for x
    x = 598,240,371,600/361,882
  6. Step 6: Final answer
    x = 1,653,136.58

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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.