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Finding the Third Proportional to 401,578.50 and 873,141

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Solution

The third proportional to 401,578.50 and 873,141 is: 1,898,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,578.50 : 873,141 = 873,141 : x
  2. Step 2: Convert to fraction form
    401,578.50/873,141 = 873,141/x
  3. Step 3: Cross multiply
    401,578.50x = 873,141 × 873,141
  4. Step 4: Simplify right side
    401,578.50x = 762,375,205,881
  5. Step 5: Solve for x
    x = 762,375,205,881/401,578.50
  6. Step 6: Final answer
    x = 1,898,446.27

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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.