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Finding the Third Proportional to 343,656 and 504,180

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Solution

The third proportional to 343,656 and 504,180 is: 739,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,656 : 504,180 = 504,180 : x
  2. Step 2: Convert to fraction form
    343,656/504,180 = 504,180/x
  3. Step 3: Cross multiply
    343,656x = 504,180 × 504,180
  4. Step 4: Simplify right side
    343,656x = 254,197,472,400
  5. Step 5: Solve for x
    x = 254,197,472,400/343,656
  6. Step 6: Final answer
    x = 739,685.83

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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.