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Finding the Third Proportional to 401,927.50 and 884,816.75

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Solution

The third proportional to 401,927.50 and 884,816.75 is: 1,947,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,927.50 : 884,816.75 = 884,816.75 : x
  2. Step 2: Convert to fraction form
    401,927.50/884,816.75 = 884,816.75/x
  3. Step 3: Cross multiply
    401,927.50x = 884,816.75 × 884,816.75
  4. Step 4: Simplify right side
    401,927.50x = 782,900,681,080.56
  5. Step 5: Solve for x
    x = 782,900,681,080.56/401,927.50
  6. Step 6: Final answer
    x = 1,947,865.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.