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Finding the Third Proportional to 366,980 and 808,452

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Solution

The third proportional to 366,980 and 808,452 is: 1,781,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,980 : 808,452 = 808,452 : x
  2. Step 2: Convert to fraction form
    366,980/808,452 = 808,452/x
  3. Step 3: Cross multiply
    366,980x = 808,452 × 808,452
  4. Step 4: Simplify right side
    366,980x = 653,594,636,304
  5. Step 5: Solve for x
    x = 653,594,636,304/366,980
  6. Step 6: Final answer
    x = 1,781,008.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.