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Finding the Third Proportional to 470.81 and 1,006.17

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Solution

The third proportional to 470.81 and 1,006.17 is: 2,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.81 : 1,006.17 = 1,006.17 : x
  2. Step 2: Convert to fraction form
    470.81/1,006.17 = 1,006.17/x
  3. Step 3: Cross multiply
    470.81x = 1,006.17 × 1,006.17
  4. Step 4: Simplify right side
    470.81x = 1,012,381.84
  5. Step 5: Solve for x
    x = 1,012,381.84/470.81
  6. Step 6: Final answer
    x = 2,150.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.