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Finding the Third Proportional to 315,086.44 and 484,310.44

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Solution

The third proportional to 315,086.44 and 484,310.44 is: 744,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,086.44 : 484,310.44 = 484,310.44 : x
  2. Step 2: Convert to fraction form
    315,086.44/484,310.44 = 484,310.44/x
  3. Step 3: Cross multiply
    315,086.44x = 484,310.44 × 484,310.44
  4. Step 4: Simplify right side
    315,086.44x = 234,556,599,871.44
  5. Step 5: Solve for x
    x = 234,556,599,871.44/315,086.44
  6. Step 6: Final answer
    x = 744,419.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.