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Finding the Third Proportional to 292,024 and 322,744

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Solution

The third proportional to 292,024 and 322,744 is: 356,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,024 : 322,744 = 322,744 : x
  2. Step 2: Convert to fraction form
    292,024/322,744 = 322,744/x
  3. Step 3: Cross multiply
    292,024x = 322,744 × 322,744
  4. Step 4: Simplify right side
    292,024x = 104,163,689,536
  5. Step 5: Solve for x
    x = 104,163,689,536/292,024
  6. Step 6: Final answer
    x = 356,695.65

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.