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Finding the Third Proportional to 570.05 and 859.17

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Solution

The third proportional to 570.05 and 859.17 is: 1,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.05 : 859.17 = 859.17 : x
  2. Step 2: Convert to fraction form
    570.05/859.17 = 859.17/x
  3. Step 3: Cross multiply
    570.05x = 859.17 × 859.17
  4. Step 4: Simplify right side
    570.05x = 738,176.31
  5. Step 5: Solve for x
    x = 738,176.31/570.05
  6. Step 6: Final answer
    x = 1,294.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.