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Finding the Third Proportional to 284,550,866 and 658,694,237

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Solution

The third proportional to 284,550,866 and 658,694,237 is: 1,524,782,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,550,866 : 658,694,237 = 658,694,237 : x
  2. Step 2: Convert to fraction form
    284,550,866/658,694,237 = 658,694,237/x
  3. Step 3: Cross multiply
    284,550,866x = 658,694,237 × 658,694,237
  4. Step 4: Simplify right side
    284,550,866x = 433,878,097,857,012,160
  5. Step 5: Solve for x
    x = 433,878,097,857,012,160/284,550,866
  6. Step 6: Final answer
    x = 1,524,782,208.38

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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.