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Finding the Third Proportional to 234,209 and 503,939

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Solution

The third proportional to 234,209 and 503,939 is: 1,084,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,209 : 503,939 = 503,939 : x
  2. Step 2: Convert to fraction form
    234,209/503,939 = 503,939/x
  3. Step 3: Cross multiply
    234,209x = 503,939 × 503,939
  4. Step 4: Simplify right side
    234,209x = 253,954,515,721
  5. Step 5: Solve for x
    x = 253,954,515,721/234,209
  6. Step 6: Final answer
    x = 1,084,307.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.