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Finding the Third Proportional to 256,523.63 and 562,299.75

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Solution

The third proportional to 256,523.63 and 562,299.75 is: 1,232,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,523.63 : 562,299.75 = 562,299.75 : x
  2. Step 2: Convert to fraction form
    256,523.63/562,299.75 = 562,299.75/x
  3. Step 3: Cross multiply
    256,523.63x = 562,299.75 × 562,299.75
  4. Step 4: Simplify right side
    256,523.63x = 316,181,008,850.06
  5. Step 5: Solve for x
    x = 316,181,008,850.06/256,523.63
  6. Step 6: Final answer
    x = 1,232,560.97

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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.