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Finding the Third Proportional to 333,904 and 501,000

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Solution

The third proportional to 333,904 and 501,000 is: 751,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,904 : 501,000 = 501,000 : x
  2. Step 2: Convert to fraction form
    333,904/501,000 = 501,000/x
  3. Step 3: Cross multiply
    333,904x = 501,000 × 501,000
  4. Step 4: Simplify right side
    333,904x = 251,001,000,000
  5. Step 5: Solve for x
    x = 251,001,000,000/333,904
  6. Step 6: Final answer
    x = 751,716.06

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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.