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Finding the Third Proportional to 359,739,904 and 774,040,976

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Solution

The third proportional to 359,739,904 and 774,040,976 is: 1,665,479,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,739,904 : 774,040,976 = 774,040,976 : x
  2. Step 2: Convert to fraction form
    359,739,904/774,040,976 = 774,040,976/x
  3. Step 3: Cross multiply
    359,739,904x = 774,040,976 × 774,040,976
  4. Step 4: Simplify right side
    359,739,904x = 599,139,432,527,032,576
  5. Step 5: Solve for x
    x = 599,139,432,527,032,576/359,739,904
  6. Step 6: Final answer
    x = 1,665,479,491.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.