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Finding the Third Proportional to 356,724.50 and 522,288.75

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Solution

The third proportional to 356,724.50 and 522,288.75 is: 764,695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,724.50 : 522,288.75 = 522,288.75 : x
  2. Step 2: Convert to fraction form
    356,724.50/522,288.75 = 522,288.75/x
  3. Step 3: Cross multiply
    356,724.50x = 522,288.75 × 522,288.75
  4. Step 4: Simplify right side
    356,724.50x = 272,785,538,376.56
  5. Step 5: Solve for x
    x = 272,785,538,376.56/356,724.50
  6. Step 6: Final answer
    x = 764,695.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.