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Finding the Third Proportional to 295,744,204 and 659,489,432

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Solution

The third proportional to 295,744,204 and 659,489,432 is: 1,470,616,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,744,204 : 659,489,432 = 659,489,432 : x
  2. Step 2: Convert to fraction form
    295,744,204/659,489,432 = 659,489,432/x
  3. Step 3: Cross multiply
    295,744,204x = 659,489,432 × 659,489,432
  4. Step 4: Simplify right side
    295,744,204x = 434,926,310,919,682,624
  5. Step 5: Solve for x
    x = 434,926,310,919,682,624/295,744,204
  6. Step 6: Final answer
    x = 1,470,616,516.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.