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Finding the Third Proportional to 848.39 and 1,118.18

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Solution

The third proportional to 848.39 and 1,118.18 is: 1,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.39 : 1,118.18 = 1,118.18 : x
  2. Step 2: Convert to fraction form
    848.39/1,118.18 = 1,118.18/x
  3. Step 3: Cross multiply
    848.39x = 1,118.18 × 1,118.18
  4. Step 4: Simplify right side
    848.39x = 1,250,325.81
  5. Step 5: Solve for x
    x = 1,250,325.81/848.39
  6. Step 6: Final answer
    x = 1,473.76

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.