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Finding the Third Proportional to 252,407,364.75 and 387,728,616.75

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Solution

The third proportional to 252,407,364.75 and 387,728,616.75 is: 595,598,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,407,364.75 : 387,728,616.75 = 387,728,616.75 : x
  2. Step 2: Convert to fraction form
    252,407,364.75/387,728,616.75 = 387,728,616.75/x
  3. Step 3: Cross multiply
    252,407,364.75x = 387,728,616.75 × 387,728,616.75
  4. Step 4: Simplify right side
    252,407,364.75x = 150,333,480,246,868,384
  5. Step 5: Solve for x
    x = 150,333,480,246,868,384/252,407,364.75
  6. Step 6: Final answer
    x = 595,598,628.41

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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.