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Finding the Third Proportional to 237,694 and 522,044

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Solution

The third proportional to 237,694 and 522,044 is: 1,146,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,694 : 522,044 = 522,044 : x
  2. Step 2: Convert to fraction form
    237,694/522,044 = 522,044/x
  3. Step 3: Cross multiply
    237,694x = 522,044 × 522,044
  4. Step 4: Simplify right side
    237,694x = 272,529,937,936
  5. Step 5: Solve for x
    x = 272,529,937,936/237,694
  6. Step 6: Final answer
    x = 1,146,557.92

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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.