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Finding the Third Proportional to 202,872 and 432,882

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Solution

The third proportional to 202,872 and 432,882 is: 923,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,872 : 432,882 = 432,882 : x
  2. Step 2: Convert to fraction form
    202,872/432,882 = 432,882/x
  3. Step 3: Cross multiply
    202,872x = 432,882 × 432,882
  4. Step 4: Simplify right side
    202,872x = 187,386,825,924
  5. Step 5: Solve for x
    x = 187,386,825,924/202,872
  6. Step 6: Final answer
    x = 923,670.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.