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Finding the Third Proportional to 277,786 and 393,324

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Solution

The third proportional to 277,786 and 393,324 is: 556,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,786 : 393,324 = 393,324 : x
  2. Step 2: Convert to fraction form
    277,786/393,324 = 393,324/x
  3. Step 3: Cross multiply
    277,786x = 393,324 × 393,324
  4. Step 4: Simplify right side
    277,786x = 154,703,768,976
  5. Step 5: Solve for x
    x = 154,703,768,976/277,786
  6. Step 6: Final answer
    x = 556,917.08

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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.