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Finding the Third Proportional to 277,593.75 and 418,439.25

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Solution

The third proportional to 277,593.75 and 418,439.25 is: 630,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,593.75 : 418,439.25 = 418,439.25 : x
  2. Step 2: Convert to fraction form
    277,593.75/418,439.25 = 418,439.25/x
  3. Step 3: Cross multiply
    277,593.75x = 418,439.25 × 418,439.25
  4. Step 4: Simplify right side
    277,593.75x = 175,091,405,940.56
  5. Step 5: Solve for x
    x = 175,091,405,940.56/277,593.75
  6. Step 6: Final answer
    x = 630,746.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.