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Finding the Third Proportional to 454.13 and 575.06

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Solution

The third proportional to 454.13 and 575.06 is: 728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.13 : 575.06 = 575.06 : x
  2. Step 2: Convert to fraction form
    454.13/575.06 = 575.06/x
  3. Step 3: Cross multiply
    454.13x = 575.06 × 575.06
  4. Step 4: Simplify right side
    454.13x = 330,696.88
  5. Step 5: Solve for x
    x = 330,696.88/454.13
  6. Step 6: Final answer
    x = 728.21

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.