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Finding the Third Proportional to 202,822 and 432,792

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Solution

The third proportional to 202,822 and 432,792 is: 923,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,822 : 432,792 = 432,792 : x
  2. Step 2: Convert to fraction form
    202,822/432,792 = 432,792/x
  3. Step 3: Cross multiply
    202,822x = 432,792 × 432,792
  4. Step 4: Simplify right side
    202,822x = 187,308,915,264
  5. Step 5: Solve for x
    x = 187,308,915,264/202,822
  6. Step 6: Final answer
    x = 923,513.80

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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.