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Finding the Third Proportional to 381,611.25 and 593,424

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Solution

The third proportional to 381,611.25 and 593,424 is: 922,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,611.25 : 593,424 = 593,424 : x
  2. Step 2: Convert to fraction form
    381,611.25/593,424 = 593,424/x
  3. Step 3: Cross multiply
    381,611.25x = 593,424 × 593,424
  4. Step 4: Simplify right side
    381,611.25x = 352,152,043,776
  5. Step 5: Solve for x
    x = 352,152,043,776/381,611.25
  6. Step 6: Final answer
    x = 922,803.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.