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Finding the Third Proportional to 470.81 and 660.66

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Solution

The third proportional to 470.81 and 660.66 is: 927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.81 : 660.66 = 660.66 : x
  2. Step 2: Convert to fraction form
    470.81/660.66 = 660.66/x
  3. Step 3: Cross multiply
    470.81x = 660.66 × 660.66
  4. Step 4: Simplify right side
    470.81x = 436,466.68
  5. Step 5: Solve for x
    x = 436,466.68/470.81
  6. Step 6: Final answer
    x = 927.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.