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Finding the Third Proportional to 463.22 and 699.47

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Solution

The third proportional to 463.22 and 699.47 is: 1,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.22 : 699.47 = 699.47 : x
  2. Step 2: Convert to fraction form
    463.22/699.47 = 699.47/x
  3. Step 3: Cross multiply
    463.22x = 699.47 × 699.47
  4. Step 4: Simplify right side
    463.22x = 489,256.53
  5. Step 5: Solve for x
    x = 489,256.53/463.22
  6. Step 6: Final answer
    x = 1,056.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.