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Finding the Third Proportional to 335,855 and 503,575

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Solution

The third proportional to 335,855 and 503,575 is: 755,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,855 : 503,575 = 503,575 : x
  2. Step 2: Convert to fraction form
    335,855/503,575 = 503,575/x
  3. Step 3: Cross multiply
    335,855x = 503,575 × 503,575
  4. Step 4: Simplify right side
    335,855x = 253,587,780,625
  5. Step 5: Solve for x
    x = 253,587,780,625/335,855
  6. Step 6: Final answer
    x = 755,051.38

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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.