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Finding the Third Proportional to 258,850.69 and 564,767.44

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Solution

The third proportional to 258,850.69 and 564,767.44 is: 1,232,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,850.69 : 564,767.44 = 564,767.44 : x
  2. Step 2: Convert to fraction form
    258,850.69/564,767.44 = 564,767.44/x
  3. Step 3: Cross multiply
    258,850.69x = 564,767.44 × 564,767.44
  4. Step 4: Simplify right side
    258,850.69x = 318,962,258,460.32
  5. Step 5: Solve for x
    x = 318,962,258,460.32/258,850.69
  6. Step 6: Final answer
    x = 1,232,224.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.