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Finding the Third Proportional to 363 and 410

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Solution

The third proportional to 363 and 410 is: 463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    363 : 410 = 410 : x
  2. Step 2: Convert to fraction form
    363/410 = 410/x
  3. Step 3: Cross multiply
    363x = 410 × 410
  4. Step 4: Simplify right side
    363x = 168,100
  5. Step 5: Solve for x
    x = 168,100/363
  6. Step 6: Final answer
    x = 463.09

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.