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Finding the Third Proportional to 401,584.50 and 873,151.50

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Solution

The third proportional to 401,584.50 and 873,151.50 is: 1,898,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,584.50 : 873,151.50 = 873,151.50 : x
  2. Step 2: Convert to fraction form
    401,584.50/873,151.50 = 873,151.50/x
  3. Step 3: Cross multiply
    401,584.50x = 873,151.50 × 873,151.50
  4. Step 4: Simplify right side
    401,584.50x = 762,393,541,952.25
  5. Step 5: Solve for x
    x = 762,393,541,952.25/401,584.50
  6. Step 6: Final answer
    x = 1,898,463.57

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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.