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Finding the Third Proportional to 250,634.25 and 387,824.63

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Solution

The third proportional to 250,634.25 and 387,824.63 is: 600,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,634.25 : 387,824.63 = 387,824.63 : x
  2. Step 2: Convert to fraction form
    250,634.25/387,824.63 = 387,824.63/x
  3. Step 3: Cross multiply
    250,634.25x = 387,824.63 × 387,824.63
  4. Step 4: Simplify right side
    250,634.25x = 150,407,939,756.39
  5. Step 5: Solve for x
    x = 150,407,939,756.39/250,634.25
  6. Step 6: Final answer
    x = 600,109.28

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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.