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Finding the Third Proportional to 363,490 and 551,776

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Solution

The third proportional to 363,490 and 551,776 is: 837,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,490 : 551,776 = 551,776 : x
  2. Step 2: Convert to fraction form
    363,490/551,776 = 551,776/x
  3. Step 3: Cross multiply
    363,490x = 551,776 × 551,776
  4. Step 4: Simplify right side
    363,490x = 304,456,754,176
  5. Step 5: Solve for x
    x = 304,456,754,176/363,490
  6. Step 6: Final answer
    x = 837,593.21

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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.