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Finding the Third Proportional to 369,067 and 553,600

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Solution

The third proportional to 369,067 and 553,600 is: 830,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,067 : 553,600 = 553,600 : x
  2. Step 2: Convert to fraction form
    369,067/553,600 = 553,600/x
  3. Step 3: Cross multiply
    369,067x = 553,600 × 553,600
  4. Step 4: Simplify right side
    369,067x = 306,472,960,000
  5. Step 5: Solve for x
    x = 306,472,960,000/369,067
  6. Step 6: Final answer
    x = 830,399.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.