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Finding the Third Proportional to 416.47 and 635.74

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Solution

The third proportional to 416.47 and 635.74 is: 970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.47 : 635.74 = 635.74 : x
  2. Step 2: Convert to fraction form
    416.47/635.74 = 635.74/x
  3. Step 3: Cross multiply
    416.47x = 635.74 × 635.74
  4. Step 4: Simplify right side
    416.47x = 404,164.40
  5. Step 5: Solve for x
    x = 404,164.40/416.47
  6. Step 6: Final answer
    x = 970.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.