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Finding the Third Proportional to 454.31 and 895.13

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Solution

The third proportional to 454.31 and 895.13 is: 1,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.31 : 895.13 = 895.13 : x
  2. Step 2: Convert to fraction form
    454.31/895.13 = 895.13/x
  3. Step 3: Cross multiply
    454.31x = 895.13 × 895.13
  4. Step 4: Simplify right side
    454.31x = 801,248.77
  5. Step 5: Solve for x
    x = 801,248.77/454.31
  6. Step 6: Final answer
    x = 1,763.65

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.