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Finding the Third Proportional to 566.75 and 839.88

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Solution

The third proportional to 566.75 and 839.88 is: 1,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.75 : 839.88 = 839.88 : x
  2. Step 2: Convert to fraction form
    566.75/839.88 = 839.88/x
  3. Step 3: Cross multiply
    566.75x = 839.88 × 839.88
  4. Step 4: Simplify right side
    566.75x = 705,390.02
  5. Step 5: Solve for x
    x = 705,390.02/566.75
  6. Step 6: Final answer
    x = 1,244.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.