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Finding the Third Proportional to 300,435,235 and 640,553,848

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Solution

The third proportional to 300,435,235 and 640,553,848 is: 1,365,716,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,435,235 : 640,553,848 = 640,553,848 : x
  2. Step 2: Convert to fraction form
    300,435,235/640,553,848 = 640,553,848/x
  3. Step 3: Cross multiply
    300,435,235x = 640,553,848 × 640,553,848
  4. Step 4: Simplify right side
    300,435,235x = 410,309,232,187,607,104
  5. Step 5: Solve for x
    x = 410,309,232,187,607,104/300,435,235
  6. Step 6: Final answer
    x = 1,365,716,082.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.