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Finding the Third Proportional to 321,552 and 687,396

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Solution

The third proportional to 321,552 and 687,396 is: 1,469,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,552 : 687,396 = 687,396 : x
  2. Step 2: Convert to fraction form
    321,552/687,396 = 687,396/x
  3. Step 3: Cross multiply
    321,552x = 687,396 × 687,396
  4. Step 4: Simplify right side
    321,552x = 472,513,260,816
  5. Step 5: Solve for x
    x = 472,513,260,816/321,552
  6. Step 6: Final answer
    x = 1,469,476.98

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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.