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Finding the Third Proportional to 363,486 and 551,769

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Solution

The third proportional to 363,486 and 551,769 is: 837,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,486 : 551,769 = 551,769 : x
  2. Step 2: Convert to fraction form
    363,486/551,769 = 551,769/x
  3. Step 3: Cross multiply
    363,486x = 551,769 × 551,769
  4. Step 4: Simplify right side
    363,486x = 304,449,029,361
  5. Step 5: Solve for x
    x = 304,449,029,361/363,486
  6. Step 6: Final answer
    x = 837,581.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.