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Finding the Third Proportional to 413.86 and 901.76

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Solution

The third proportional to 413.86 and 901.76 is: 1,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.86 : 901.76 = 901.76 : x
  2. Step 2: Convert to fraction form
    413.86/901.76 = 901.76/x
  3. Step 3: Cross multiply
    413.86x = 901.76 × 901.76
  4. Step 4: Simplify right side
    413.86x = 813,167.15
  5. Step 5: Solve for x
    x = 813,167.15/413.86
  6. Step 6: Final answer
    x = 1,964.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.