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Finding the Third Proportional to 252,170 and 537,716

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Solution

The third proportional to 252,170 and 537,716 is: 1,146,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,170 : 537,716 = 537,716 : x
  2. Step 2: Convert to fraction form
    252,170/537,716 = 537,716/x
  3. Step 3: Cross multiply
    252,170x = 537,716 × 537,716
  4. Step 4: Simplify right side
    252,170x = 289,138,496,656
  5. Step 5: Solve for x
    x = 289,138,496,656/252,170
  6. Step 6: Final answer
    x = 1,146,601.49

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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.