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Finding the Third Proportional to 566.75 and 875.88

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Solution

The third proportional to 566.75 and 875.88 is: 1,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.75 : 875.88 = 875.88 : x
  2. Step 2: Convert to fraction form
    566.75/875.88 = 875.88/x
  3. Step 3: Cross multiply
    566.75x = 875.88 × 875.88
  4. Step 4: Simplify right side
    566.75x = 767,157.02
  5. Step 5: Solve for x
    x = 767,157.02/566.75
  6. Step 6: Final answer
    x = 1,353.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.