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Finding the Third Proportional to 439.31 and 685.59

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Solution

The third proportional to 439.31 and 685.59 is: 1,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.31 : 685.59 = 685.59 : x
  2. Step 2: Convert to fraction form
    439.31/685.59 = 685.59/x
  3. Step 3: Cross multiply
    439.31x = 685.59 × 685.59
  4. Step 4: Simplify right side
    439.31x = 470,038.79
  5. Step 5: Solve for x
    x = 470,038.79/439.31
  6. Step 6: Final answer
    x = 1,069.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.