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Finding the Third Proportional to 288,751,350 and 601,297,236

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Solution

The third proportional to 288,751,350 and 601,297,236 is: 1,252,144,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,751,350 : 601,297,236 = 601,297,236 : x
  2. Step 2: Convert to fraction form
    288,751,350/601,297,236 = 601,297,236/x
  3. Step 3: Cross multiply
    288,751,350x = 601,297,236 × 601,297,236
  4. Step 4: Simplify right side
    288,751,350x = 361,558,366,021,239,680
  5. Step 5: Solve for x
    x = 361,558,366,021,239,680/288,751,350
  6. Step 6: Final answer
    x = 1,252,144,331.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.