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Finding the Third Proportional to 477,240.75 and 667,566.25

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Solution

The third proportional to 477,240.75 and 667,566.25 is: 933,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,240.75 : 667,566.25 = 667,566.25 : x
  2. Step 2: Convert to fraction form
    477,240.75/667,566.25 = 667,566.25/x
  3. Step 3: Cross multiply
    477,240.75x = 667,566.25 × 667,566.25
  4. Step 4: Simplify right side
    477,240.75x = 445,644,698,139.06
  5. Step 5: Solve for x
    x = 445,644,698,139.06/477,240.75
  6. Step 6: Final answer
    x = 933,794.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.