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Finding the Third Proportional to 466.13 and 1,077.56

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Solution

The third proportional to 466.13 and 1,077.56 is: 2,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.13 : 1,077.56 = 1,077.56 : x
  2. Step 2: Convert to fraction form
    466.13/1,077.56 = 1,077.56/x
  3. Step 3: Cross multiply
    466.13x = 1,077.56 × 1,077.56
  4. Step 4: Simplify right side
    466.13x = 1,161,140.94
  5. Step 5: Solve for x
    x = 1,161,140.94/466.13
  6. Step 6: Final answer
    x = 2,491.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.