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Finding the Third Proportional to 288,751,348 and 601,297,232

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Solution

The third proportional to 288,751,348 and 601,297,232 is: 1,252,144,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,751,348 : 601,297,232 = 601,297,232 : x
  2. Step 2: Convert to fraction form
    288,751,348/601,297,232 = 601,297,232/x
  3. Step 3: Cross multiply
    288,751,348x = 601,297,232 × 601,297,232
  4. Step 4: Simplify right side
    288,751,348x = 361,558,361,210,861,824
  5. Step 5: Solve for x
    x = 361,558,361,210,861,824/288,751,348
  6. Step 6: Final answer
    x = 1,252,144,323.19

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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.