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Finding the Third Proportional to 370,098.50 and 796,330

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Solution

The third proportional to 370,098.50 and 796,330 is: 1,713,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,098.50 : 796,330 = 796,330 : x
  2. Step 2: Convert to fraction form
    370,098.50/796,330 = 796,330/x
  3. Step 3: Cross multiply
    370,098.50x = 796,330 × 796,330
  4. Step 4: Simplify right side
    370,098.50x = 634,141,468,900
  5. Step 5: Solve for x
    x = 634,141,468,900/370,098.50
  6. Step 6: Final answer
    x = 1,713,439.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.