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Finding the Third Proportional to 474,039.75 and 1,036,762.50

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Solution

The third proportional to 474,039.75 and 1,036,762.50 is: 2,267,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,039.75 : 1,036,762.50 = 1,036,762.50 : x
  2. Step 2: Convert to fraction form
    474,039.75/1,036,762.50 = 1,036,762.50/x
  3. Step 3: Cross multiply
    474,039.75x = 1,036,762.50 × 1,036,762.50
  4. Step 4: Simplify right side
    474,039.75x = 1,074,876,481,406.25
  5. Step 5: Solve for x
    x = 1,074,876,481,406.25/474,039.75
  6. Step 6: Final answer
    x = 2,267,481.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.