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Finding the Third Proportional to 369,966 and 796,056

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Solution

The third proportional to 369,966 and 796,056 is: 1,712,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,966 : 796,056 = 796,056 : x
  2. Step 2: Convert to fraction form
    369,966/796,056 = 796,056/x
  3. Step 3: Cross multiply
    369,966x = 796,056 × 796,056
  4. Step 4: Simplify right side
    369,966x = 633,705,155,136
  5. Step 5: Solve for x
    x = 633,705,155,136/369,966
  6. Step 6: Final answer
    x = 1,712,874.03

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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.