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Finding the Third Proportional to 410 and 635.50

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Solution

The third proportional to 410 and 635.50 is: 985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 635.50 = 635.50 : x
  2. Step 2: Convert to fraction form
    410/635.50 = 635.50/x
  3. Step 3: Cross multiply
    410x = 635.50 × 635.50
  4. Step 4: Simplify right side
    410x = 403,860.25
  5. Step 5: Solve for x
    x = 403,860.25/410
  6. Step 6: Final answer
    x = 985.03

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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.