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Finding the Third Proportional to 252,872 and 540,304

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Solution

The third proportional to 252,872 and 540,304 is: 1,154,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,872 : 540,304 = 540,304 : x
  2. Step 2: Convert to fraction form
    252,872/540,304 = 540,304/x
  3. Step 3: Cross multiply
    252,872x = 540,304 × 540,304
  4. Step 4: Simplify right side
    252,872x = 291,928,412,416
  5. Step 5: Solve for x
    x = 291,928,412,416/252,872
  6. Step 6: Final answer
    x = 1,154,451.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.