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Finding the Third Proportional to 470.81 and 691.03

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Solution

The third proportional to 470.81 and 691.03 is: 1,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.81 : 691.03 = 691.03 : x
  2. Step 2: Convert to fraction form
    470.81/691.03 = 691.03/x
  3. Step 3: Cross multiply
    470.81x = 691.03 × 691.03
  4. Step 4: Simplify right side
    470.81x = 477,524.19
  5. Step 5: Solve for x
    x = 477,524.19/470.81
  6. Step 6: Final answer
    x = 1,014.26

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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.