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Finding the Third Proportional to 460.25 and 704.13

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Solution

The third proportional to 460.25 and 704.13 is: 1,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 704.13 = 704.13 : x
  2. Step 2: Convert to fraction form
    460.25/704.13 = 704.13/x
  3. Step 3: Cross multiply
    460.25x = 704.13 × 704.13
  4. Step 4: Simplify right side
    460.25x = 495,792.02
  5. Step 5: Solve for x
    x = 495,792.02/460.25
  6. Step 6: Final answer
    x = 1,077.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.