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Finding the Third Proportional to 343,444 and 505,233

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Solution

The third proportional to 343,444 and 505,233 is: 743,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,444 : 505,233 = 505,233 : x
  2. Step 2: Convert to fraction form
    343,444/505,233 = 505,233/x
  3. Step 3: Cross multiply
    343,444x = 505,233 × 505,233
  4. Step 4: Simplify right side
    343,444x = 255,260,384,289
  5. Step 5: Solve for x
    x = 255,260,384,289/343,444
  6. Step 6: Final answer
    x = 743,237.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.