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Finding the Third Proportional to 846.33 and 1,401.42

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Solution

The third proportional to 846.33 and 1,401.42 is: 2,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.33 : 1,401.42 = 1,401.42 : x
  2. Step 2: Convert to fraction form
    846.33/1,401.42 = 1,401.42/x
  3. Step 3: Cross multiply
    846.33x = 1,401.42 × 1,401.42
  4. Step 4: Simplify right side
    846.33x = 1,963,983.27
  5. Step 5: Solve for x
    x = 1,963,983.27/846.33
  6. Step 6: Final answer
    x = 2,320.59

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.