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Finding the Third Proportional to 413.75 and 974.88

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Solution

The third proportional to 413.75 and 974.88 is: 2,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.75 : 974.88 = 974.88 : x
  2. Step 2: Convert to fraction form
    413.75/974.88 = 974.88/x
  3. Step 3: Cross multiply
    413.75x = 974.88 × 974.88
  4. Step 4: Simplify right side
    413.75x = 950,381.27
  5. Step 5: Solve for x
    x = 950,381.27/413.75
  6. Step 6: Final answer
    x = 2,296.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.