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Finding the Third Proportional to 412,533 and 850,763.25

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Solution

The third proportional to 412,533 and 850,763.25 is: 1,754,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,533 : 850,763.25 = 850,763.25 : x
  2. Step 2: Convert to fraction form
    412,533/850,763.25 = 850,763.25/x
  3. Step 3: Cross multiply
    412,533x = 850,763.25 × 850,763.25
  4. Step 4: Simplify right side
    412,533x = 723,798,107,550.56
  5. Step 5: Solve for x
    x = 723,798,107,550.56/412,533
  6. Step 6: Final answer
    x = 1,754,521.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.