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Finding the Third Proportional to 237,000 and 522,040

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Solution

The third proportional to 237,000 and 522,040 is: 1,149,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,000 : 522,040 = 522,040 : x
  2. Step 2: Convert to fraction form
    237,000/522,040 = 522,040/x
  3. Step 3: Cross multiply
    237,000x = 522,040 × 522,040
  4. Step 4: Simplify right side
    237,000x = 272,525,761,600
  5. Step 5: Solve for x
    x = 272,525,761,600/237,000
  6. Step 6: Final answer
    x = 1,149,897.73

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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.