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Finding the Third Proportional to 570.75 and 700.69

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Solution

The third proportional to 570.75 and 700.69 is: 860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.75 : 700.69 = 700.69 : x
  2. Step 2: Convert to fraction form
    570.75/700.69 = 700.69/x
  3. Step 3: Cross multiply
    570.75x = 700.69 × 700.69
  4. Step 4: Simplify right side
    570.75x = 490,962.97
  5. Step 5: Solve for x
    x = 490,962.97/570.75
  6. Step 6: Final answer
    x = 860.21

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.