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Finding the Third Proportional to 436,314,180 and 658,995,864

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Solution

The third proportional to 436,314,180 and 658,995,864 is: 995,327,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,314,180 : 658,995,864 = 658,995,864 : x
  2. Step 2: Convert to fraction form
    436,314,180/658,995,864 = 658,995,864/x
  3. Step 3: Cross multiply
    436,314,180x = 658,995,864 × 658,995,864
  4. Step 4: Simplify right side
    436,314,180x = 434,275,548,769,106,496
  5. Step 5: Solve for x
    x = 434,275,548,769,106,496/436,314,180
  6. Step 6: Final answer
    x = 995,327,607.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.