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Finding the Third Proportional to 237,704 and 522,058

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Solution

The third proportional to 237,704 and 522,058 is: 1,146,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,704 : 522,058 = 522,058 : x
  2. Step 2: Convert to fraction form
    237,704/522,058 = 522,058/x
  3. Step 3: Cross multiply
    237,704x = 522,058 × 522,058
  4. Step 4: Simplify right side
    237,704x = 272,544,555,364
  5. Step 5: Solve for x
    x = 272,544,555,364/237,704
  6. Step 6: Final answer
    x = 1,146,571.18

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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.