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Finding the Third Proportional to 270,837 and 571,320

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Solution

The third proportional to 270,837 and 571,320 is: 1,205,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,837 : 571,320 = 571,320 : x
  2. Step 2: Convert to fraction form
    270,837/571,320 = 571,320/x
  3. Step 3: Cross multiply
    270,837x = 571,320 × 571,320
  4. Step 4: Simplify right side
    270,837x = 326,406,542,400
  5. Step 5: Solve for x
    x = 326,406,542,400/270,837
  6. Step 6: Final answer
    x = 1,205,177.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.