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Finding the Third Proportional to 808.73 and 1,271.95

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Solution

The third proportional to 808.73 and 1,271.95 is: 2,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.73 : 1,271.95 = 1,271.95 : x
  2. Step 2: Convert to fraction form
    808.73/1,271.95 = 1,271.95/x
  3. Step 3: Cross multiply
    808.73x = 1,271.95 × 1,271.95
  4. Step 4: Simplify right side
    808.73x = 1,617,864.75
  5. Step 5: Solve for x
    x = 1,617,864.75/808.73
  6. Step 6: Final answer
    x = 2,000.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.