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Finding the Third Proportional to 416.75 and 924.50

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Solution

The third proportional to 416.75 and 924.50 is: 2,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.75 : 924.50 = 924.50 : x
  2. Step 2: Convert to fraction form
    416.75/924.50 = 924.50/x
  3. Step 3: Cross multiply
    416.75x = 924.50 × 924.50
  4. Step 4: Simplify right side
    416.75x = 854,700.25
  5. Step 5: Solve for x
    x = 854,700.25/416.75
  6. Step 6: Final answer
    x = 2,050.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.