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Finding the Third Proportional to 241,845 and 503,310

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Solution

The third proportional to 241,845 and 503,310 is: 1,047,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,845 : 503,310 = 503,310 : x
  2. Step 2: Convert to fraction form
    241,845/503,310 = 503,310/x
  3. Step 3: Cross multiply
    241,845x = 503,310 × 503,310
  4. Step 4: Simplify right side
    241,845x = 253,320,956,100
  5. Step 5: Solve for x
    x = 253,320,956,100/241,845
  6. Step 6: Final answer
    x = 1,047,451.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.