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Finding the Third Proportional to 461.64 and 729.95

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Solution

The third proportional to 461.64 and 729.95 is: 1,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.64 : 729.95 = 729.95 : x
  2. Step 2: Convert to fraction form
    461.64/729.95 = 729.95/x
  3. Step 3: Cross multiply
    461.64x = 729.95 × 729.95
  4. Step 4: Simplify right side
    461.64x = 532,825.86
  5. Step 5: Solve for x
    x = 532,825.86/461.64
  6. Step 6: Final answer
    x = 1,154.21

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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.