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Finding the Third Proportional to 321,435 and 698,166

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Solution

The third proportional to 321,435 and 698,166 is: 1,516,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,435 : 698,166 = 698,166 : x
  2. Step 2: Convert to fraction form
    321,435/698,166 = 698,166/x
  3. Step 3: Cross multiply
    321,435x = 698,166 × 698,166
  4. Step 4: Simplify right side
    321,435x = 487,435,763,556
  5. Step 5: Solve for x
    x = 487,435,763,556/321,435
  6. Step 6: Final answer
    x = 1,516,436.49

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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.