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Finding the Third Proportional to 323,467,200 and 462,561,852

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Solution

The third proportional to 323,467,200 and 462,561,852 is: 661,468,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,467,200 : 462,561,852 = 462,561,852 : x
  2. Step 2: Convert to fraction form
    323,467,200/462,561,852 = 462,561,852/x
  3. Step 3: Cross multiply
    323,467,200x = 462,561,852 × 462,561,852
  4. Step 4: Simplify right side
    323,467,200x = 213,963,466,925,669,888
  5. Step 5: Solve for x
    x = 213,963,466,925,669,888/323,467,200
  6. Step 6: Final answer
    x = 661,468,819.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.