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Finding the Third Proportional to 264,902.06 and 578,979.56

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Solution

The third proportional to 264,902.06 and 578,979.56 is: 1,265,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,902.06 : 578,979.56 = 578,979.56 : x
  2. Step 2: Convert to fraction form
    264,902.06/578,979.56 = 578,979.56/x
  3. Step 3: Cross multiply
    264,902.06x = 578,979.56 × 578,979.56
  4. Step 4: Simplify right side
    264,902.06x = 335,217,333,792.69
  5. Step 5: Solve for x
    x = 335,217,333,792.69/264,902.06
  6. Step 6: Final answer
    x = 1,265,438.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.