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Finding the Third Proportional to 335,864 and 503,588

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Solution

The third proportional to 335,864 and 503,588 is: 755,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,864 : 503,588 = 503,588 : x
  2. Step 2: Convert to fraction form
    335,864/503,588 = 503,588/x
  3. Step 3: Cross multiply
    335,864x = 503,588 × 503,588
  4. Step 4: Simplify right side
    335,864x = 253,600,873,744
  5. Step 5: Solve for x
    x = 253,600,873,744/335,864
  6. Step 6: Final answer
    x = 755,070.13

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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.