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Finding the Third Proportional to 413.81 and 602.06

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Solution

The third proportional to 413.81 and 602.06 is: 875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.81 : 602.06 = 602.06 : x
  2. Step 2: Convert to fraction form
    413.81/602.06 = 602.06/x
  3. Step 3: Cross multiply
    413.81x = 602.06 × 602.06
  4. Step 4: Simplify right side
    413.81x = 362,479.25
  5. Step 5: Solve for x
    x = 362,479.25/413.81
  6. Step 6: Final answer
    x = 875.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.