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Finding the Third Proportional to 568,253 and 862,748

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Solution

The third proportional to 568,253 and 862,748 is: 1,309,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,253 : 862,748 = 862,748 : x
  2. Step 2: Convert to fraction form
    568,253/862,748 = 862,748/x
  3. Step 3: Cross multiply
    568,253x = 862,748 × 862,748
  4. Step 4: Simplify right side
    568,253x = 744,334,111,504
  5. Step 5: Solve for x
    x = 744,334,111,504/568,253
  6. Step 6: Final answer
    x = 1,309,863.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.