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Finding the Third Proportional to 364,803.75 and 852,079.50

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Solution

The third proportional to 364,803.75 and 852,079.50 is: 1,990,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,803.75 : 852,079.50 = 852,079.50 : x
  2. Step 2: Convert to fraction form
    364,803.75/852,079.50 = 852,079.50/x
  3. Step 3: Cross multiply
    364,803.75x = 852,079.50 × 852,079.50
  4. Step 4: Simplify right side
    364,803.75x = 726,039,474,320.25
  5. Step 5: Solve for x
    x = 726,039,474,320.25/364,803.75
  6. Step 6: Final answer
    x = 1,990,219.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.