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Finding the Third Proportional to 365.81 and 848.91

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Solution

The third proportional to 365.81 and 848.91 is: 1,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.81 : 848.91 = 848.91 : x
  2. Step 2: Convert to fraction form
    365.81/848.91 = 848.91/x
  3. Step 3: Cross multiply
    365.81x = 848.91 × 848.91
  4. Step 4: Simplify right side
    365.81x = 720,641.82
  5. Step 5: Solve for x
    x = 720,641.82/365.81
  6. Step 6: Final answer
    x = 1,969.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.