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Finding the Third Proportional to 325,500 and 503,001

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Solution

The third proportional to 325,500 and 503,001 is: 777,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,500 : 503,001 = 503,001 : x
  2. Step 2: Convert to fraction form
    325,500/503,001 = 503,001/x
  3. Step 3: Cross multiply
    325,500x = 503,001 × 503,001
  4. Step 4: Simplify right side
    325,500x = 253,010,006,001
  5. Step 5: Solve for x
    x = 253,010,006,001/325,500
  6. Step 6: Final answer
    x = 777,296.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.