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Finding the Third Proportional to 370,098 and 796,329

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Solution

The third proportional to 370,098 and 796,329 is: 1,713,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,098 : 796,329 = 796,329 : x
  2. Step 2: Convert to fraction form
    370,098/796,329 = 796,329/x
  3. Step 3: Cross multiply
    370,098x = 796,329 × 796,329
  4. Step 4: Simplify right side
    370,098x = 634,139,876,241
  5. Step 5: Solve for x
    x = 634,139,876,241/370,098
  6. Step 6: Final answer
    x = 1,713,437.73

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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.