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Finding the Third Proportional to 321,544 and 687,380

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Solution

The third proportional to 321,544 and 687,380 is: 1,469,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,544 : 687,380 = 687,380 : x
  2. Step 2: Convert to fraction form
    321,544/687,380 = 687,380/x
  3. Step 3: Cross multiply
    321,544x = 687,380 × 687,380
  4. Step 4: Simplify right side
    321,544x = 472,491,264,400
  5. Step 5: Solve for x
    x = 472,491,264,400/321,544
  6. Step 6: Final answer
    x = 1,469,445.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.