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Finding the Third Proportional to 332,025,626 and 496,208,465

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Solution

The third proportional to 332,025,626 and 496,208,465 is: 741,577,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,025,626 : 496,208,465 = 496,208,465 : x
  2. Step 2: Convert to fraction form
    332,025,626/496,208,465 = 496,208,465/x
  3. Step 3: Cross multiply
    332,025,626x = 496,208,465 × 496,208,465
  4. Step 4: Simplify right side
    332,025,626x = 246,222,840,737,656,224
  5. Step 5: Solve for x
    x = 246,222,840,737,656,224/332,025,626
  6. Step 6: Final answer
    x = 741,577,822.48

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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.