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Finding the Third Proportional to 343,380 and 504,793

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Solution

The third proportional to 343,380 and 504,793 is: 742,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,380 : 504,793 = 504,793 : x
  2. Step 2: Convert to fraction form
    343,380/504,793 = 504,793/x
  3. Step 3: Cross multiply
    343,380x = 504,793 × 504,793
  4. Step 4: Simplify right side
    343,380x = 254,815,972,849
  5. Step 5: Solve for x
    x = 254,815,972,849/343,380
  6. Step 6: Final answer
    x = 742,081.58

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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.