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Finding the Third Proportional to 367,884,306 and 511,508,763

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Solution

The third proportional to 367,884,306 and 511,508,763 is: 711,205,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,884,306 : 511,508,763 = 511,508,763 : x
  2. Step 2: Convert to fraction form
    367,884,306/511,508,763 = 511,508,763/x
  3. Step 3: Cross multiply
    367,884,306x = 511,508,763 × 511,508,763
  4. Step 4: Simplify right side
    367,884,306x = 261,641,214,625,790,176
  5. Step 5: Solve for x
    x = 261,641,214,625,790,176/367,884,306
  6. Step 6: Final answer
    x = 711,205,154.33

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