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Finding the Third Proportional to 575,304 and 1,251,612

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Solution

The third proportional to 575,304 and 1,251,612 is: 2,722,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,304 : 1,251,612 = 1,251,612 : x
  2. Step 2: Convert to fraction form
    575,304/1,251,612 = 1,251,612/x
  3. Step 3: Cross multiply
    575,304x = 1,251,612 × 1,251,612
  4. Step 4: Simplify right side
    575,304x = 1,566,532,598,544
  5. Step 5: Solve for x
    x = 1,566,532,598,544/575,304
  6. Step 6: Final answer
    x = 2,722,964.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.