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Finding the Third Proportional to 413.88 and 841.25

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Solution

The third proportional to 413.88 and 841.25 is: 1,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.88 : 841.25 = 841.25 : x
  2. Step 2: Convert to fraction form
    413.88/841.25 = 841.25/x
  3. Step 3: Cross multiply
    413.88x = 841.25 × 841.25
  4. Step 4: Simplify right side
    413.88x = 707,701.56
  5. Step 5: Solve for x
    x = 707,701.56/413.88
  6. Step 6: Final answer
    x = 1,709.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.