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Finding the Third Proportional to 267,550,816.50 and 409,322,863.69

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Solution

The third proportional to 267,550,816.50 and 409,322,863.69 is: 626,218,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,550,816.50 : 409,322,863.69 = 409,322,863.69 : x
  2. Step 2: Convert to fraction form
    267,550,816.50/409,322,863.69 = 409,322,863.69/x
  3. Step 3: Cross multiply
    267,550,816.50x = 409,322,863.69 × 409,322,863.69
  4. Step 4: Simplify right side
    267,550,816.50x = 167,545,206,737,335,712
  5. Step 5: Solve for x
    x = 167,545,206,737,335,712/267,550,816.50
  6. Step 6: Final answer
    x = 626,218,259.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.