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Finding the Third Proportional to 321,511 and 698,371

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Solution

The third proportional to 321,511 and 698,371 is: 1,516,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,511 : 698,371 = 698,371 : x
  2. Step 2: Convert to fraction form
    321,511/698,371 = 698,371/x
  3. Step 3: Cross multiply
    321,511x = 698,371 × 698,371
  4. Step 4: Simplify right side
    321,511x = 487,722,053,641
  5. Step 5: Solve for x
    x = 487,722,053,641/321,511
  6. Step 6: Final answer
    x = 1,516,968.48

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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.