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Finding the Third Proportional to 416.88 and 902.13

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Solution

The third proportional to 416.88 and 902.13 is: 1,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.88 : 902.13 = 902.13 : x
  2. Step 2: Convert to fraction form
    416.88/902.13 = 902.13/x
  3. Step 3: Cross multiply
    416.88x = 902.13 × 902.13
  4. Step 4: Simplify right side
    416.88x = 813,829.52
  5. Step 5: Solve for x
    x = 813,829.52/416.88
  6. Step 6: Final answer
    x = 1,952.21

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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.