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Finding the Third Proportional to 370,034 and 796,200

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Solution

The third proportional to 370,034 and 796,200 is: 1,713,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,034 : 796,200 = 796,200 : x
  2. Step 2: Convert to fraction form
    370,034/796,200 = 796,200/x
  3. Step 3: Cross multiply
    370,034x = 796,200 × 796,200
  4. Step 4: Simplify right side
    370,034x = 633,934,440,000
  5. Step 5: Solve for x
    x = 633,934,440,000/370,034
  6. Step 6: Final answer
    x = 1,713,178.90

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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.