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Finding the Third Proportional to 379,449 and 808,056

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Solution

The third proportional to 379,449 and 808,056 is: 1,720,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,449 : 808,056 = 808,056 : x
  2. Step 2: Convert to fraction form
    379,449/808,056 = 808,056/x
  3. Step 3: Cross multiply
    379,449x = 808,056 × 808,056
  4. Step 4: Simplify right side
    379,449x = 652,954,499,136
  5. Step 5: Solve for x
    x = 652,954,499,136/379,449
  6. Step 6: Final answer
    x = 1,720,796.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.