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Finding the Third Proportional to 303,202.50 and 656,865

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Solution

The third proportional to 303,202.50 and 656,865 is: 1,423,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,202.50 : 656,865 = 656,865 : x
  2. Step 2: Convert to fraction form
    303,202.50/656,865 = 656,865/x
  3. Step 3: Cross multiply
    303,202.50x = 656,865 × 656,865
  4. Step 4: Simplify right side
    303,202.50x = 431,471,628,225
  5. Step 5: Solve for x
    x = 431,471,628,225/303,202.50
  6. Step 6: Final answer
    x = 1,423,047.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.