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Finding the Third Proportional to 416 and 477.50

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Solution

The third proportional to 416 and 477.50 is: 548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 477.50 = 477.50 : x
  2. Step 2: Convert to fraction form
    416/477.50 = 477.50/x
  3. Step 3: Cross multiply
    416x = 477.50 × 477.50
  4. Step 4: Simplify right side
    416x = 228,006.25
  5. Step 5: Solve for x
    x = 228,006.25/416
  6. Step 6: Final answer
    x = 548.09

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.