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Finding the Third Proportional to 365,415,192 and 538,029,540

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Solution

The third proportional to 365,415,192 and 538,029,540 is: 792,183,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,415,192 : 538,029,540 = 538,029,540 : x
  2. Step 2: Convert to fraction form
    365,415,192/538,029,540 = 538,029,540/x
  3. Step 3: Cross multiply
    365,415,192x = 538,029,540 × 538,029,540
  4. Step 4: Simplify right side
    365,415,192x = 289,475,785,912,611,584
  5. Step 5: Solve for x
    x = 289,475,785,912,611,584/365,415,192
  6. Step 6: Final answer
    x = 792,183,226.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.