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Finding the Third Proportional to 371,902 and 763,406

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Solution

The third proportional to 371,902 and 763,406 is: 1,567,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,902 : 763,406 = 763,406 : x
  2. Step 2: Convert to fraction form
    371,902/763,406 = 763,406/x
  3. Step 3: Cross multiply
    371,902x = 763,406 × 763,406
  4. Step 4: Simplify right side
    371,902x = 582,788,720,836
  5. Step 5: Solve for x
    x = 582,788,720,836/371,902
  6. Step 6: Final answer
    x = 1,567,049.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.