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Finding the Third Proportional to 470.81 and 635.06

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Solution

The third proportional to 470.81 and 635.06 is: 856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.81 : 635.06 = 635.06 : x
  2. Step 2: Convert to fraction form
    470.81/635.06 = 635.06/x
  3. Step 3: Cross multiply
    470.81x = 635.06 × 635.06
  4. Step 4: Simplify right side
    470.81x = 403,304.38
  5. Step 5: Solve for x
    x = 403,304.38/470.81
  6. Step 6: Final answer
    x = 856.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.