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Finding the Third Proportional to 392,697 and 848,058

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Solution

The third proportional to 392,697 and 848,058 is: 1,831,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,697 : 848,058 = 848,058 : x
  2. Step 2: Convert to fraction form
    392,697/848,058 = 848,058/x
  3. Step 3: Cross multiply
    392,697x = 848,058 × 848,058
  4. Step 4: Simplify right side
    392,697x = 719,202,371,364
  5. Step 5: Solve for x
    x = 719,202,371,364/392,697
  6. Step 6: Final answer
    x = 1,831,443.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.