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Finding the Third Proportional to 849.75 and 2,298.38

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Solution

The third proportional to 849.75 and 2,298.38 is: 6,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.75 : 2,298.38 = 2,298.38 : x
  2. Step 2: Convert to fraction form
    849.75/2,298.38 = 2,298.38/x
  3. Step 3: Cross multiply
    849.75x = 2,298.38 × 2,298.38
  4. Step 4: Simplify right side
    849.75x = 5,282,527.64
  5. Step 5: Solve for x
    x = 5,282,527.64/849.75
  6. Step 6: Final answer
    x = 6,216.57

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.