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Finding the Third Proportional to 335,858 and 503,580

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Solution

The third proportional to 335,858 and 503,580 is: 755,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,858 : 503,580 = 503,580 : x
  2. Step 2: Convert to fraction form
    335,858/503,580 = 503,580/x
  3. Step 3: Cross multiply
    335,858x = 503,580 × 503,580
  4. Step 4: Simplify right side
    335,858x = 253,592,816,400
  5. Step 5: Solve for x
    x = 253,592,816,400/335,858
  6. Step 6: Final answer
    x = 755,059.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.