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Finding the Third Proportional to 202,440 and 432,902

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Solution

The third proportional to 202,440 and 432,902 is: 925,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,440 : 432,902 = 432,902 : x
  2. Step 2: Convert to fraction form
    202,440/432,902 = 432,902/x
  3. Step 3: Cross multiply
    202,440x = 432,902 × 432,902
  4. Step 4: Simplify right side
    202,440x = 187,404,141,604
  5. Step 5: Solve for x
    x = 187,404,141,604/202,440
  6. Step 6: Final answer
    x = 925,726.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.