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Finding the Third Proportional to 470.93 and 1,028.36

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Solution

The third proportional to 470.93 and 1,028.36 is: 2,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.93 : 1,028.36 = 1,028.36 : x
  2. Step 2: Convert to fraction form
    470.93/1,028.36 = 1,028.36/x
  3. Step 3: Cross multiply
    470.93x = 1,028.36 × 1,028.36
  4. Step 4: Simplify right side
    470.93x = 1,057,524.01
  5. Step 5: Solve for x
    x = 1,057,524.01/470.93
  6. Step 6: Final answer
    x = 2,245.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.