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Finding the Third Proportional to 461.44 and 600.19

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Solution

The third proportional to 461.44 and 600.19 is: 780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.44 : 600.19 = 600.19 : x
  2. Step 2: Convert to fraction form
    461.44/600.19 = 600.19/x
  3. Step 3: Cross multiply
    461.44x = 600.19 × 600.19
  4. Step 4: Simplify right side
    461.44x = 360,225.04
  5. Step 5: Solve for x
    x = 360,225.04/461.44
  6. Step 6: Final answer
    x = 780.66

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.