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Finding the Third Proportional to 377,360 and 557,400

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Solution

The third proportional to 377,360 and 557,400 is: 823,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,360 : 557,400 = 557,400 : x
  2. Step 2: Convert to fraction form
    377,360/557,400 = 557,400/x
  3. Step 3: Cross multiply
    377,360x = 557,400 × 557,400
  4. Step 4: Simplify right side
    377,360x = 310,694,760,000
  5. Step 5: Solve for x
    x = 310,694,760,000/377,360
  6. Step 6: Final answer
    x = 823,337.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.