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Finding the Third Proportional to 410 and 482

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Solution

The third proportional to 410 and 482 is: 566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 482 = 482 : x
  2. Step 2: Convert to fraction form
    410/482 = 482/x
  3. Step 3: Cross multiply
    410x = 482 × 482
  4. Step 4: Simplify right side
    410x = 232,324
  5. Step 5: Solve for x
    x = 232,324/410
  6. Step 6: Final answer
    x = 566.64

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.