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Finding the Third Proportional to 309,037.50 and 641,760

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Solution

The third proportional to 309,037.50 and 641,760 is: 1,332,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,037.50 : 641,760 = 641,760 : x
  2. Step 2: Convert to fraction form
    309,037.50/641,760 = 641,760/x
  3. Step 3: Cross multiply
    309,037.50x = 641,760 × 641,760
  4. Step 4: Simplify right side
    309,037.50x = 411,855,897,600
  5. Step 5: Solve for x
    x = 411,855,897,600/309,037.50
  6. Step 6: Final answer
    x = 1,332,705.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.