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Finding the Third Proportional to 384,507,978 and 595,760,922

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Solution

The third proportional to 384,507,978 and 595,760,922 is: 923,078,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,507,978 : 595,760,922 = 595,760,922 : x
  2. Step 2: Convert to fraction form
    384,507,978/595,760,922 = 595,760,922/x
  3. Step 3: Cross multiply
    384,507,978x = 595,760,922 × 595,760,922
  4. Step 4: Simplify right side
    384,507,978x = 354,931,076,182,290,112
  5. Step 5: Solve for x
    x = 354,931,076,182,290,112/384,507,978
  6. Step 6: Final answer
    x = 923,078,574.41

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