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Finding the Third Proportional to 436,548,115.50 and 654,661,828.50

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Solution

The third proportional to 436,548,115.50 and 654,661,828.50 is: 981,752,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,548,115.50 : 654,661,828.50 = 654,661,828.50 : x
  2. Step 2: Convert to fraction form
    436,548,115.50/654,661,828.50 = 654,661,828.50/x
  3. Step 3: Cross multiply
    436,548,115.50x = 654,661,828.50 × 654,661,828.50
  4. Step 4: Simplify right side
    436,548,115.50x = 428,582,109,694,963,392
  5. Step 5: Solve for x
    x = 428,582,109,694,963,392/436,548,115.50
  6. Step 6: Final answer
    x = 981,752,284.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.