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Finding the Third Proportional to 367,884,304 and 511,508,760

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Solution

The third proportional to 367,884,304 and 511,508,760 is: 711,205,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,884,304 : 511,508,760 = 511,508,760 : x
  2. Step 2: Convert to fraction form
    367,884,304/511,508,760 = 511,508,760/x
  3. Step 3: Cross multiply
    367,884,304x = 511,508,760 × 511,508,760
  4. Step 4: Simplify right side
    367,884,304x = 261,641,211,556,737,600
  5. Step 5: Solve for x
    x = 261,641,211,556,737,600/367,884,304
  6. Step 6: Final answer
    x = 711,205,149.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.