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Finding the Third Proportional to 371,916 and 763,434

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Solution

The third proportional to 371,916 and 763,434 is: 1,567,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,916 : 763,434 = 763,434 : x
  2. Step 2: Convert to fraction form
    371,916/763,434 = 763,434/x
  3. Step 3: Cross multiply
    371,916x = 763,434 × 763,434
  4. Step 4: Simplify right side
    371,916x = 582,831,472,356
  5. Step 5: Solve for x
    x = 582,831,472,356/371,916
  6. Step 6: Final answer
    x = 1,567,105.13

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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.