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Finding the Third Proportional to 378,385.17 and 569,166.75

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Solution

The third proportional to 378,385.17 and 569,166.75 is: 856,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,385.17 : 569,166.75 = 569,166.75 : x
  2. Step 2: Convert to fraction form
    378,385.17/569,166.75 = 569,166.75/x
  3. Step 3: Cross multiply
    378,385.17x = 569,166.75 × 569,166.75
  4. Step 4: Simplify right side
    378,385.17x = 323,950,789,305.56
  5. Step 5: Solve for x
    x = 323,950,789,305.56/378,385.17
  6. Step 6: Final answer
    x = 856,140.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.