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Finding the Third Proportional to 315,086.75 and 484,310.75

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Solution

The third proportional to 315,086.75 and 484,310.75 is: 744,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,086.75 : 484,310.75 = 484,310.75 : x
  2. Step 2: Convert to fraction form
    315,086.75/484,310.75 = 484,310.75/x
  3. Step 3: Cross multiply
    315,086.75x = 484,310.75 × 484,310.75
  4. Step 4: Simplify right side
    315,086.75x = 234,556,902,565.56
  5. Step 5: Solve for x
    x = 234,556,902,565.56/315,086.75
  6. Step 6: Final answer
    x = 744,420.08

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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.