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Finding the Third Proportional to 261.56 and 706.78

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Solution

The third proportional to 261.56 and 706.78 is: 1,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.56 : 706.78 = 706.78 : x
  2. Step 2: Convert to fraction form
    261.56/706.78 = 706.78/x
  3. Step 3: Cross multiply
    261.56x = 706.78 × 706.78
  4. Step 4: Simplify right side
    261.56x = 499,539.74
  5. Step 5: Solve for x
    x = 499,539.74/261.56
  6. Step 6: Final answer
    x = 1,909.83

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.