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Finding the Third Proportional to 273,334,542 and 440,158,629

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Solution

The third proportional to 273,334,542 and 440,158,629 is: 708,800,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,334,542 : 440,158,629 = 440,158,629 : x
  2. Step 2: Convert to fraction form
    273,334,542/440,158,629 = 440,158,629/x
  3. Step 3: Cross multiply
    273,334,542x = 440,158,629 × 440,158,629
  4. Step 4: Simplify right side
    273,334,542x = 193,739,618,683,159,648
  5. Step 5: Solve for x
    x = 193,739,618,683,159,648/273,334,542
  6. Step 6: Final answer
    x = 708,800,348.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.