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Finding the Third Proportional to 232,722 and 506,916

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Solution

The third proportional to 232,722 and 506,916 is: 1,104,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,722 : 506,916 = 506,916 : x
  2. Step 2: Convert to fraction form
    232,722/506,916 = 506,916/x
  3. Step 3: Cross multiply
    232,722x = 506,916 × 506,916
  4. Step 4: Simplify right side
    232,722x = 256,963,831,056
  5. Step 5: Solve for x
    x = 256,963,831,056/232,722
  6. Step 6: Final answer
    x = 1,104,166.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.