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Finding the Third Proportional to 285,949,455 and 441,864,822

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Solution

The third proportional to 285,949,455 and 441,864,822 is: 682,793,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,949,455 : 441,864,822 = 441,864,822 : x
  2. Step 2: Convert to fraction form
    285,949,455/441,864,822 = 441,864,822/x
  3. Step 3: Cross multiply
    285,949,455x = 441,864,822 × 441,864,822
  4. Step 4: Simplify right side
    285,949,455x = 195,244,520,921,091,680
  5. Step 5: Solve for x
    x = 195,244,520,921,091,680/285,949,455
  6. Step 6: Final answer
    x = 682,793,820.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.