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Finding the Third Proportional to 848.39 and 1,317.94

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Solution

The third proportional to 848.39 and 1,317.94 is: 2,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.39 : 1,317.94 = 1,317.94 : x
  2. Step 2: Convert to fraction form
    848.39/1,317.94 = 1,317.94/x
  3. Step 3: Cross multiply
    848.39x = 1,317.94 × 1,317.94
  4. Step 4: Simplify right side
    848.39x = 1,736,959.25
  5. Step 5: Solve for x
    x = 1,736,959.25/848.39
  6. Step 6: Final answer
    x = 2,047.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.