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Finding the Third Proportional to 300,496.50 and 612,123.75

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Solution

The third proportional to 300,496.50 and 612,123.75 is: 1,246,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,496.50 : 612,123.75 = 612,123.75 : x
  2. Step 2: Convert to fraction form
    300,496.50/612,123.75 = 612,123.75/x
  3. Step 3: Cross multiply
    300,496.50x = 612,123.75 × 612,123.75
  4. Step 4: Simplify right side
    300,496.50x = 374,695,485,314.06
  5. Step 5: Solve for x
    x = 374,695,485,314.06/300,496.50
  6. Step 6: Final answer
    x = 1,246,921.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.