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Finding the Third Proportional to 368,001 and 553,821

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Solution

The third proportional to 368,001 and 553,821 is: 833,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,001 : 553,821 = 553,821 : x
  2. Step 2: Convert to fraction form
    368,001/553,821 = 553,821/x
  3. Step 3: Cross multiply
    368,001x = 553,821 × 553,821
  4. Step 4: Simplify right side
    368,001x = 306,717,700,041
  5. Step 5: Solve for x
    x = 306,717,700,041/368,001
  6. Step 6: Final answer
    x = 833,469.75

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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.