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Finding the Third Proportional to 409,594.50 and 851,895

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Solution

The third proportional to 409,594.50 and 851,895 is: 1,771,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,594.50 : 851,895 = 851,895 : x
  2. Step 2: Convert to fraction form
    409,594.50/851,895 = 851,895/x
  3. Step 3: Cross multiply
    409,594.50x = 851,895 × 851,895
  4. Step 4: Simplify right side
    409,594.50x = 725,725,091,025
  5. Step 5: Solve for x
    x = 725,725,091,025/409,594.50
  6. Step 6: Final answer
    x = 1,771,813.56

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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.