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Finding the Third Proportional to 370,037 and 796,207

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Solution

The third proportional to 370,037 and 796,207 is: 1,713,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,037 : 796,207 = 796,207 : x
  2. Step 2: Convert to fraction form
    370,037/796,207 = 796,207/x
  3. Step 3: Cross multiply
    370,037x = 796,207 × 796,207
  4. Step 4: Simplify right side
    370,037x = 633,945,586,849
  5. Step 5: Solve for x
    x = 633,945,586,849/370,037
  6. Step 6: Final answer
    x = 1,713,195.13

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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.