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Finding the Third Proportional to 461.06 and 729.56

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Solution

The third proportional to 461.06 and 729.56 is: 1,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.06 : 729.56 = 729.56 : x
  2. Step 2: Convert to fraction form
    461.06/729.56 = 729.56/x
  3. Step 3: Cross multiply
    461.06x = 729.56 × 729.56
  4. Step 4: Simplify right side
    461.06x = 532,261.44
  5. Step 5: Solve for x
    x = 532,261.44/461.06
  6. Step 6: Final answer
    x = 1,154.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.