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Finding the Third Proportional to 263,060 and 568,154

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Solution

The third proportional to 263,060 and 568,154 is: 1,227,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,060 : 568,154 = 568,154 : x
  2. Step 2: Convert to fraction form
    263,060/568,154 = 568,154/x
  3. Step 3: Cross multiply
    263,060x = 568,154 × 568,154
  4. Step 4: Simplify right side
    263,060x = 322,798,967,716
  5. Step 5: Solve for x
    x = 322,798,967,716/263,060
  6. Step 6: Final answer
    x = 1,227,092.56

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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.