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Finding the Third Proportional to 206,822 and 432,583

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Solution

The third proportional to 206,822 and 432,583 is: 904,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,822 : 432,583 = 432,583 : x
  2. Step 2: Convert to fraction form
    206,822/432,583 = 432,583/x
  3. Step 3: Cross multiply
    206,822x = 432,583 × 432,583
  4. Step 4: Simplify right side
    206,822x = 187,128,051,889
  5. Step 5: Solve for x
    x = 187,128,051,889/206,822
  6. Step 6: Final answer
    x = 904,778.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.