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Finding the Third Proportional to 849.56 and 1,134.56

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Solution

The third proportional to 849.56 and 1,134.56 is: 1,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.56 : 1,134.56 = 1,134.56 : x
  2. Step 2: Convert to fraction form
    849.56/1,134.56 = 1,134.56/x
  3. Step 3: Cross multiply
    849.56x = 1,134.56 × 1,134.56
  4. Step 4: Simplify right side
    849.56x = 1,287,232.07
  5. Step 5: Solve for x
    x = 1,287,232.07/849.56
  6. Step 6: Final answer
    x = 1,515.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.