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Finding the Third Proportional to 227,822 and 532,295

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Solution

The third proportional to 227,822 and 532,295 is: 1,243,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,822 : 532,295 = 532,295 : x
  2. Step 2: Convert to fraction form
    227,822/532,295 = 532,295/x
  3. Step 3: Cross multiply
    227,822x = 532,295 × 532,295
  4. Step 4: Simplify right side
    227,822x = 283,337,967,025
  5. Step 5: Solve for x
    x = 283,337,967,025/227,822
  6. Step 6: Final answer
    x = 1,243,681.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.