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Finding the Third Proportional to 416.13 and 876.13

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Solution

The third proportional to 416.13 and 876.13 is: 1,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.13 : 876.13 = 876.13 : x
  2. Step 2: Convert to fraction form
    416.13/876.13 = 876.13/x
  3. Step 3: Cross multiply
    416.13x = 876.13 × 876.13
  4. Step 4: Simplify right side
    416.13x = 767,595.02
  5. Step 5: Solve for x
    x = 767,595.02/416.13
  6. Step 6: Final answer
    x = 1,844.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.