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Finding the Third Proportional to 370,089 and 796,311

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Solution

The third proportional to 370,089 and 796,311 is: 1,713,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,089 : 796,311 = 796,311 : x
  2. Step 2: Convert to fraction form
    370,089/796,311 = 796,311/x
  3. Step 3: Cross multiply
    370,089x = 796,311 × 796,311
  4. Step 4: Simplify right side
    370,089x = 634,111,208,721
  5. Step 5: Solve for x
    x = 634,111,208,721/370,089
  6. Step 6: Final answer
    x = 1,713,401.93

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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.