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Finding the Third Proportional to 401,734 and 873,372

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Solution

The third proportional to 401,734 and 873,372 is: 1,898,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,734 : 873,372 = 873,372 : x
  2. Step 2: Convert to fraction form
    401,734/873,372 = 873,372/x
  3. Step 3: Cross multiply
    401,734x = 873,372 × 873,372
  4. Step 4: Simplify right side
    401,734x = 762,778,650,384
  5. Step 5: Solve for x
    x = 762,778,650,384/401,734
  6. Step 6: Final answer
    x = 1,898,715.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.