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Finding the Third Proportional to 409,007 and 855,598.50

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Solution

The third proportional to 409,007 and 855,598.50 is: 1,789,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,007 : 855,598.50 = 855,598.50 : x
  2. Step 2: Convert to fraction form
    409,007/855,598.50 = 855,598.50/x
  3. Step 3: Cross multiply
    409,007x = 855,598.50 × 855,598.50
  4. Step 4: Simplify right side
    409,007x = 732,048,793,202.25
  5. Step 5: Solve for x
    x = 732,048,793,202.25/409,007
  6. Step 6: Final answer
    x = 1,789,819.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.