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Finding the Third Proportional to 273,334,544 and 440,158,632

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Solution

The third proportional to 273,334,544 and 440,158,632 is: 708,800,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,334,544 : 440,158,632 = 440,158,632 : x
  2. Step 2: Convert to fraction form
    273,334,544/440,158,632 = 440,158,632/x
  3. Step 3: Cross multiply
    273,334,544x = 440,158,632 × 440,158,632
  4. Step 4: Simplify right side
    273,334,544x = 193,739,621,324,111,424
  5. Step 5: Solve for x
    x = 193,739,621,324,111,424/273,334,544
  6. Step 6: Final answer
    x = 708,800,353.18

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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.