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Finding the Third Proportional to 256,724.75 and 591,643.30

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Solution

The third proportional to 256,724.75 and 591,643.30 is: 1,363,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,724.75 : 591,643.30 = 591,643.30 : x
  2. Step 2: Convert to fraction form
    256,724.75/591,643.30 = 591,643.30/x
  3. Step 3: Cross multiply
    256,724.75x = 591,643.30 × 591,643.30
  4. Step 4: Simplify right side
    256,724.75x = 350,041,795,359.32
  5. Step 5: Solve for x
    x = 350,041,795,359.32/256,724.75
  6. Step 6: Final answer
    x = 1,363,490.63

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.