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Finding the Third Proportional to 268,276 and 568,532

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Solution

The third proportional to 268,276 and 568,532 is: 1,204,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,276 : 568,532 = 568,532 : x
  2. Step 2: Convert to fraction form
    268,276/568,532 = 568,532/x
  3. Step 3: Cross multiply
    268,276x = 568,532 × 568,532
  4. Step 4: Simplify right side
    268,276x = 323,228,635,024
  5. Step 5: Solve for x
    x = 323,228,635,024/268,276
  6. Step 6: Final answer
    x = 1,204,836.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.