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Finding the Third Proportional to 277,925,222 and 370,524,891

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Solution

The third proportional to 277,925,222 and 370,524,891 is: 493,977,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,925,222 : 370,524,891 = 370,524,891 : x
  2. Step 2: Convert to fraction form
    277,925,222/370,524,891 = 370,524,891/x
  3. Step 3: Cross multiply
    277,925,222x = 370,524,891 × 370,524,891
  4. Step 4: Simplify right side
    277,925,222x = 137,288,694,850,561,888
  5. Step 5: Solve for x
    x = 137,288,694,850,561,888/277,925,222
  6. Step 6: Final answer
    x = 493,977,098.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.