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Finding the Third Proportional to 303,729 and 613,882.50

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Solution

The third proportional to 303,729 and 613,882.50 is: 1,240,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,729 : 613,882.50 = 613,882.50 : x
  2. Step 2: Convert to fraction form
    303,729/613,882.50 = 613,882.50/x
  3. Step 3: Cross multiply
    303,729x = 613,882.50 × 613,882.50
  4. Step 4: Simplify right side
    303,729x = 376,851,723,806.25
  5. Step 5: Solve for x
    x = 376,851,723,806.25/303,729
  6. Step 6: Final answer
    x = 1,240,749.89

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.