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Finding the Third Proportional to 463.88 and 715.69

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Solution

The third proportional to 463.88 and 715.69 is: 1,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.88 : 715.69 = 715.69 : x
  2. Step 2: Convert to fraction form
    463.88/715.69 = 715.69/x
  3. Step 3: Cross multiply
    463.88x = 715.69 × 715.69
  4. Step 4: Simplify right side
    463.88x = 512,208.60
  5. Step 5: Solve for x
    x = 512,208.60/463.88
  6. Step 6: Final answer
    x = 1,104.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.