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Finding the Third Proportional to 237,708 and 527,904

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Solution

The third proportional to 237,708 and 527,904 is: 1,172,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,708 : 527,904 = 527,904 : x
  2. Step 2: Convert to fraction form
    237,708/527,904 = 527,904/x
  3. Step 3: Cross multiply
    237,708x = 527,904 × 527,904
  4. Step 4: Simplify right side
    237,708x = 278,682,633,216
  5. Step 5: Solve for x
    x = 278,682,633,216/237,708
  6. Step 6: Final answer
    x = 1,172,373.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.