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Finding the Third Proportional to 586.26 and 860.17

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Solution

The third proportional to 586.26 and 860.17 is: 1,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.26 : 860.17 = 860.17 : x
  2. Step 2: Convert to fraction form
    586.26/860.17 = 860.17/x
  3. Step 3: Cross multiply
    586.26x = 860.17 × 860.17
  4. Step 4: Simplify right side
    586.26x = 739,892.71
  5. Step 5: Solve for x
    x = 739,892.71/586.26
  6. Step 6: Final answer
    x = 1,262.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.