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Finding the Third Proportional to 256,178,049 and 393,589,248

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Solution

The third proportional to 256,178,049 and 393,589,248 is: 604,706,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,178,049 : 393,589,248 = 393,589,248 : x
  2. Step 2: Convert to fraction form
    256,178,049/393,589,248 = 393,589,248/x
  3. Step 3: Cross multiply
    256,178,049x = 393,589,248 × 393,589,248
  4. Step 4: Simplify right side
    256,178,049x = 154,912,496,141,205,504
  5. Step 5: Solve for x
    x = 154,912,496,141,205,504/256,178,049
  6. Step 6: Final answer
    x = 604,706,362.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.