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Finding the Third Proportional to 463.63 and 717.63

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Solution

The third proportional to 463.63 and 717.63 is: 1,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.63 : 717.63 = 717.63 : x
  2. Step 2: Convert to fraction form
    463.63/717.63 = 717.63/x
  3. Step 3: Cross multiply
    463.63x = 717.63 × 717.63
  4. Step 4: Simplify right side
    463.63x = 514,985.64
  5. Step 5: Solve for x
    x = 514,985.64/463.63
  6. Step 6: Final answer
    x = 1,110.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.