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Finding the Third Proportional to 401,833.50 and 859,593.75

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Solution

The third proportional to 401,833.50 and 859,593.75 is: 1,838,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,833.50 : 859,593.75 = 859,593.75 : x
  2. Step 2: Convert to fraction form
    401,833.50/859,593.75 = 859,593.75/x
  3. Step 3: Cross multiply
    401,833.50x = 859,593.75 × 859,593.75
  4. Step 4: Simplify right side
    401,833.50x = 738,901,415,039.06
  5. Step 5: Solve for x
    x = 738,901,415,039.06/401,833.50
  6. Step 6: Final answer
    x = 1,838,824.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.