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Finding the Third Proportional to 256,537.13 and 593,856.56

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Solution

The third proportional to 256,537.13 and 593,856.56 is: 1,374,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,537.13 : 593,856.56 = 593,856.56 : x
  2. Step 2: Convert to fraction form
    256,537.13/593,856.56 = 593,856.56/x
  3. Step 3: Cross multiply
    256,537.13x = 593,856.56 × 593,856.56
  4. Step 4: Simplify right side
    256,537.13x = 352,665,616,824.32
  5. Step 5: Solve for x
    x = 352,665,616,824.32/256,537.13
  6. Step 6: Final answer
    x = 1,374,715.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.