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Finding the Third Proportional to 399.56 and 586.31

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Solution

The third proportional to 399.56 and 586.31 is: 860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.56 : 586.31 = 586.31 : x
  2. Step 2: Convert to fraction form
    399.56/586.31 = 586.31/x
  3. Step 3: Cross multiply
    399.56x = 586.31 × 586.31
  4. Step 4: Simplify right side
    399.56x = 343,762.35
  5. Step 5: Solve for x
    x = 343,762.35/399.56
  6. Step 6: Final answer
    x = 860.35

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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.