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Finding the Third Proportional to 262,079 and 568,654

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Solution

The third proportional to 262,079 and 568,654 is: 1,233,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,079 : 568,654 = 568,654 : x
  2. Step 2: Convert to fraction form
    262,079/568,654 = 568,654/x
  3. Step 3: Cross multiply
    262,079x = 568,654 × 568,654
  4. Step 4: Simplify right side
    262,079x = 323,367,371,716
  5. Step 5: Solve for x
    x = 323,367,371,716/262,079
  6. Step 6: Final answer
    x = 1,233,854.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.