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Finding the Third Proportional to 321,560 and 698,460

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Solution

The third proportional to 321,560 and 698,460 is: 1,517,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,560 : 698,460 = 698,460 : x
  2. Step 2: Convert to fraction form
    321,560/698,460 = 698,460/x
  3. Step 3: Cross multiply
    321,560x = 698,460 × 698,460
  4. Step 4: Simplify right side
    321,560x = 487,846,371,600
  5. Step 5: Solve for x
    x = 487,846,371,600/321,560
  6. Step 6: Final answer
    x = 1,517,123.93

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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.