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Finding the Third Proportional to 336,417,086 and 491,853,542

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Solution

The third proportional to 336,417,086 and 491,853,542 is: 719,107,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,417,086 : 491,853,542 = 491,853,542 : x
  2. Step 2: Convert to fraction form
    336,417,086/491,853,542 = 491,853,542/x
  3. Step 3: Cross multiply
    336,417,086x = 491,853,542 × 491,853,542
  4. Step 4: Simplify right side
    336,417,086x = 241,919,906,777,945,760
  5. Step 5: Solve for x
    x = 241,919,906,777,945,760/336,417,086
  6. Step 6: Final answer
    x = 719,107,075.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.