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Finding the Third Proportional to 237,696 and 522,042

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Solution

The third proportional to 237,696 and 522,042 is: 1,146,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,696 : 522,042 = 522,042 : x
  2. Step 2: Convert to fraction form
    237,696/522,042 = 522,042/x
  3. Step 3: Cross multiply
    237,696x = 522,042 × 522,042
  4. Step 4: Simplify right side
    237,696x = 272,527,849,764
  5. Step 5: Solve for x
    x = 272,527,849,764/237,696
  6. Step 6: Final answer
    x = 1,146,539.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.