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Finding the Third Proportional to 349,743 and 531,451

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Solution

The third proportional to 349,743 and 531,451 is: 807,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,743 : 531,451 = 531,451 : x
  2. Step 2: Convert to fraction form
    349,743/531,451 = 531,451/x
  3. Step 3: Cross multiply
    349,743x = 531,451 × 531,451
  4. Step 4: Simplify right side
    349,743x = 282,440,165,401
  5. Step 5: Solve for x
    x = 282,440,165,401/349,743
  6. Step 6: Final answer
    x = 807,564.88

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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.