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Finding the Third Proportional to 505.97 and 1,061.30

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Solution

The third proportional to 505.97 and 1,061.30 is: 2,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.97 : 1,061.30 = 1,061.30 : x
  2. Step 2: Convert to fraction form
    505.97/1,061.30 = 1,061.30/x
  3. Step 3: Cross multiply
    505.97x = 1,061.30 × 1,061.30
  4. Step 4: Simplify right side
    505.97x = 1,126,351.06
  5. Step 5: Solve for x
    x = 1,126,351.06/505.97
  6. Step 6: Final answer
    x = 2,226.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.