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Finding the Third Proportional to 463.64 and 733.64

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Solution

The third proportional to 463.64 and 733.64 is: 1,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.64 : 733.64 = 733.64 : x
  2. Step 2: Convert to fraction form
    463.64/733.64 = 733.64/x
  3. Step 3: Cross multiply
    463.64x = 733.64 × 733.64
  4. Step 4: Simplify right side
    463.64x = 538,228.57
  5. Step 5: Solve for x
    x = 538,228.57/463.64
  6. Step 6: Final answer
    x = 1,160.87

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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.