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Finding the Third Proportional to 202,579 and 434,591

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Solution

The third proportional to 202,579 and 434,591 is: 932,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,579 : 434,591 = 434,591 : x
  2. Step 2: Convert to fraction form
    202,579/434,591 = 434,591/x
  3. Step 3: Cross multiply
    202,579x = 434,591 × 434,591
  4. Step 4: Simplify right side
    202,579x = 188,869,337,281
  5. Step 5: Solve for x
    x = 188,869,337,281/202,579
  6. Step 6: Final answer
    x = 932,324.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.