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Finding the Third Proportional to 263,624 and 568,720

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Solution

The third proportional to 263,624 and 568,720 is: 1,226,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,624 : 568,720 = 568,720 : x
  2. Step 2: Convert to fraction form
    263,624/568,720 = 568,720/x
  3. Step 3: Cross multiply
    263,624x = 568,720 × 568,720
  4. Step 4: Simplify right side
    263,624x = 323,442,438,400
  5. Step 5: Solve for x
    x = 323,442,438,400/263,624
  6. Step 6: Final answer
    x = 1,226,908.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.