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Finding the Third Proportional to 410.16 and 910.59

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Solution

The third proportional to 410.16 and 910.59 is: 2,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.16 : 910.59 = 910.59 : x
  2. Step 2: Convert to fraction form
    410.16/910.59 = 910.59/x
  3. Step 3: Cross multiply
    410.16x = 910.59 × 910.59
  4. Step 4: Simplify right side
    410.16x = 829,180.98
  5. Step 5: Solve for x
    x = 829,180.98/410.16
  6. Step 6: Final answer
    x = 2,021.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.