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Finding the Third Proportional to 368,052 and 557,600

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Solution

The third proportional to 368,052 and 557,600 is: 844,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,052 : 557,600 = 557,600 : x
  2. Step 2: Convert to fraction form
    368,052/557,600 = 557,600/x
  3. Step 3: Cross multiply
    368,052x = 557,600 × 557,600
  4. Step 4: Simplify right side
    368,052x = 310,917,760,000
  5. Step 5: Solve for x
    x = 310,917,760,000/368,052
  6. Step 6: Final answer
    x = 844,765.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.