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Finding the Third Proportional to 322,057.50 and 425,826

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Solution

The third proportional to 322,057.50 and 425,826 is: 563,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,057.50 : 425,826 = 425,826 : x
  2. Step 2: Convert to fraction form
    322,057.50/425,826 = 425,826/x
  3. Step 3: Cross multiply
    322,057.50x = 425,826 × 425,826
  4. Step 4: Simplify right side
    322,057.50x = 181,327,782,276
  5. Step 5: Solve for x
    x = 181,327,782,276/322,057.50
  6. Step 6: Final answer
    x = 563,029.22

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.