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Finding the Third Proportional to 321,554 and 698,464

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Solution

The third proportional to 321,554 and 698,464 is: 1,517,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,554 : 698,464 = 698,464 : x
  2. Step 2: Convert to fraction form
    321,554/698,464 = 698,464/x
  3. Step 3: Cross multiply
    321,554x = 698,464 × 698,464
  4. Step 4: Simplify right side
    321,554x = 487,851,959,296
  5. Step 5: Solve for x
    x = 487,851,959,296/321,554
  6. Step 6: Final answer
    x = 1,517,169.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.