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Finding the Third Proportional to 321,432 and 698,160

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Solution

The third proportional to 321,432 and 698,160 is: 1,516,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,432 : 698,160 = 698,160 : x
  2. Step 2: Convert to fraction form
    321,432/698,160 = 698,160/x
  3. Step 3: Cross multiply
    321,432x = 698,160 × 698,160
  4. Step 4: Simplify right side
    321,432x = 487,427,385,600
  5. Step 5: Solve for x
    x = 487,427,385,600/321,432
  6. Step 6: Final answer
    x = 1,516,424.58

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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.