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Finding the Third Proportional to 284,550,864 and 658,694,232

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Solution

The third proportional to 284,550,864 and 658,694,232 is: 1,524,782,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,550,864 : 658,694,232 = 658,694,232 : x
  2. Step 2: Convert to fraction form
    284,550,864/658,694,232 = 658,694,232/x
  3. Step 3: Cross multiply
    284,550,864x = 658,694,232 × 658,694,232
  4. Step 4: Simplify right side
    284,550,864x = 433,878,091,270,069,824
  5. Step 5: Solve for x
    x = 433,878,091,270,069,824/284,550,864
  6. Step 6: Final answer
    x = 1,524,782,195.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.