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Finding the Third Proportional to 417 and 735

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Solution

The third proportional to 417 and 735 is: 1,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417 : 735 = 735 : x
  2. Step 2: Convert to fraction form
    417/735 = 735/x
  3. Step 3: Cross multiply
    417x = 735 × 735
  4. Step 4: Simplify right side
    417x = 540,225
  5. Step 5: Solve for x
    x = 540,225/417
  6. Step 6: Final answer
    x = 1,295.50

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.