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Finding the Third Proportional to 846.84 and 1,276.17

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Solution

The third proportional to 846.84 and 1,276.17 is: 1,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.84 : 1,276.17 = 1,276.17 : x
  2. Step 2: Convert to fraction form
    846.84/1,276.17 = 1,276.17/x
  3. Step 3: Cross multiply
    846.84x = 1,276.17 × 1,276.17
  4. Step 4: Simplify right side
    846.84x = 1,628,614.65
  5. Step 5: Solve for x
    x = 1,628,614.65/846.84
  6. Step 6: Final answer
    x = 1,923.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.