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Finding the Third Proportional to 343,956 and 531,494

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Solution

The third proportional to 343,956 and 531,494 is: 821,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,956 : 531,494 = 531,494 : x
  2. Step 2: Convert to fraction form
    343,956/531,494 = 531,494/x
  3. Step 3: Cross multiply
    343,956x = 531,494 × 531,494
  4. Step 4: Simplify right side
    343,956x = 282,485,872,036
  5. Step 5: Solve for x
    x = 282,485,872,036/343,956
  6. Step 6: Final answer
    x = 821,284.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.