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Finding the Third Proportional to 303,837.75 and 662,346.56

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Solution

The third proportional to 303,837.75 and 662,346.56 is: 1,443,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,837.75 : 662,346.56 = 662,346.56 : x
  2. Step 2: Convert to fraction form
    303,837.75/662,346.56 = 662,346.56/x
  3. Step 3: Cross multiply
    303,837.75x = 662,346.56 × 662,346.56
  4. Step 4: Simplify right side
    303,837.75x = 438,702,968,855.57
  5. Step 5: Solve for x
    x = 438,702,968,855.57/303,837.75
  6. Step 6: Final answer
    x = 1,443,872.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.