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Finding the Third Proportional to 364,206 and 551,387

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Solution

The third proportional to 364,206 and 551,387 is: 834,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,206 : 551,387 = 551,387 : x
  2. Step 2: Convert to fraction form
    364,206/551,387 = 551,387/x
  3. Step 3: Cross multiply
    364,206x = 551,387 × 551,387
  4. Step 4: Simplify right side
    364,206x = 304,027,623,769
  5. Step 5: Solve for x
    x = 304,027,623,769/364,206
  6. Step 6: Final answer
    x = 834,768.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.