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Finding the Third Proportional to 853.88 and 1,248.94

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Solution

The third proportional to 853.88 and 1,248.94 is: 1,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.88 : 1,248.94 = 1,248.94 : x
  2. Step 2: Convert to fraction form
    853.88/1,248.94 = 1,248.94/x
  3. Step 3: Cross multiply
    853.88x = 1,248.94 × 1,248.94
  4. Step 4: Simplify right side
    853.88x = 1,559,844.88
  5. Step 5: Solve for x
    x = 1,559,844.88/853.88
  6. Step 6: Final answer
    x = 1,826.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.