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Finding the Third Proportional to 332,025,624 and 496,208,462.25

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Solution

The third proportional to 332,025,624 and 496,208,462.25 is: 741,577,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,025,624 : 496,208,462.25 = 496,208,462.25 : x
  2. Step 2: Convert to fraction form
    332,025,624/496,208,462.25 = 496,208,462.25/x
  3. Step 3: Cross multiply
    332,025,624x = 496,208,462.25 × 496,208,462.25
  4. Step 4: Simplify right side
    332,025,624x = 246,222,838,008,509,664
  5. Step 5: Solve for x
    x = 246,222,838,008,509,664/332,025,624
  6. Step 6: Final answer
    x = 741,577,818.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.