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Finding the Third Proportional to 265,902.75 and 569,166.75

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Solution

The third proportional to 265,902.75 and 569,166.75 is: 1,218,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,902.75 : 569,166.75 = 569,166.75 : x
  2. Step 2: Convert to fraction form
    265,902.75/569,166.75 = 569,166.75/x
  3. Step 3: Cross multiply
    265,902.75x = 569,166.75 × 569,166.75
  4. Step 4: Simplify right side
    265,902.75x = 323,950,789,305.56
  5. Step 5: Solve for x
    x = 323,950,789,305.56/265,902.75
  6. Step 6: Final answer
    x = 1,218,305.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.