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Finding the Third Proportional to 369.13 and 795.13

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Solution

The third proportional to 369.13 and 795.13 is: 1,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.13 : 795.13 = 795.13 : x
  2. Step 2: Convert to fraction form
    369.13/795.13 = 795.13/x
  3. Step 3: Cross multiply
    369.13x = 795.13 × 795.13
  4. Step 4: Simplify right side
    369.13x = 632,223.77
  5. Step 5: Solve for x
    x = 632,223.77/369.13
  6. Step 6: Final answer
    x = 1,712.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.