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Finding the Third Proportional to 253,503 and 539,292

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Solution

The third proportional to 253,503 and 539,292 is: 1,147,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,503 : 539,292 = 539,292 : x
  2. Step 2: Convert to fraction form
    253,503/539,292 = 539,292/x
  3. Step 3: Cross multiply
    253,503x = 539,292 × 539,292
  4. Step 4: Simplify right side
    253,503x = 290,835,861,264
  5. Step 5: Solve for x
    x = 290,835,861,264/253,503
  6. Step 6: Final answer
    x = 1,147,267.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.