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Finding the Third Proportional to 251,570 and 542,524

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Solution

The third proportional to 251,570 and 542,524 is: 1,169,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,570 : 542,524 = 542,524 : x
  2. Step 2: Convert to fraction form
    251,570/542,524 = 542,524/x
  3. Step 3: Cross multiply
    251,570x = 542,524 × 542,524
  4. Step 4: Simplify right side
    251,570x = 294,332,290,576
  5. Step 5: Solve for x
    x = 294,332,290,576/251,570
  6. Step 6: Final answer
    x = 1,169,981.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.