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Finding the Third Proportional to 470.13 and 1,017.15

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Solution

The third proportional to 470.13 and 1,017.15 is: 2,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.13 : 1,017.15 = 1,017.15 : x
  2. Step 2: Convert to fraction form
    470.13/1,017.15 = 1,017.15/x
  3. Step 3: Cross multiply
    470.13x = 1,017.15 × 1,017.15
  4. Step 4: Simplify right side
    470.13x = 1,034,588.46
  5. Step 5: Solve for x
    x = 1,034,588.46/470.13
  6. Step 6: Final answer
    x = 2,200.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.