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Finding the Third Proportional to 277,782 and 393,318

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Solution

The third proportional to 277,782 and 393,318 is: 556,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,782 : 393,318 = 393,318 : x
  2. Step 2: Convert to fraction form
    277,782/393,318 = 393,318/x
  3. Step 3: Cross multiply
    277,782x = 393,318 × 393,318
  4. Step 4: Simplify right side
    277,782x = 154,699,049,124
  5. Step 5: Solve for x
    x = 154,699,049,124/277,782
  6. Step 6: Final answer
    x = 556,908.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.