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Finding the Third Proportional to 252,534 and 536,208

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Solution

The third proportional to 252,534 and 536,208 is: 1,138,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,534 : 536,208 = 536,208 : x
  2. Step 2: Convert to fraction form
    252,534/536,208 = 536,208/x
  3. Step 3: Cross multiply
    252,534x = 536,208 × 536,208
  4. Step 4: Simplify right side
    252,534x = 287,519,019,264
  5. Step 5: Solve for x
    x = 287,519,019,264/252,534
  6. Step 6: Final answer
    x = 1,138,535.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.