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Finding the Third Proportional to 252,164 and 537,704

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Solution

The third proportional to 252,164 and 537,704 is: 1,146,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,164 : 537,704 = 537,704 : x
  2. Step 2: Convert to fraction form
    252,164/537,704 = 537,704/x
  3. Step 3: Cross multiply
    252,164x = 537,704 × 537,704
  4. Step 4: Simplify right side
    252,164x = 289,125,591,616
  5. Step 5: Solve for x
    x = 289,125,591,616/252,164
  6. Step 6: Final answer
    x = 1,146,577.59

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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.