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Finding the Third Proportional to 237,767 and 483,837.50

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Solution

The third proportional to 237,767 and 483,837.50 is: 984,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,767 : 483,837.50 = 483,837.50 : x
  2. Step 2: Convert to fraction form
    237,767/483,837.50 = 483,837.50/x
  3. Step 3: Cross multiply
    237,767x = 483,837.50 × 483,837.50
  4. Step 4: Simplify right side
    237,767x = 234,098,726,406.25
  5. Step 5: Solve for x
    x = 234,098,726,406.25/237,767
  6. Step 6: Final answer
    x = 984,571.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.