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Finding the Third Proportional to 234,035 and 503,621

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Solution

The third proportional to 234,035 and 503,621 is: 1,083,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,035 : 503,621 = 503,621 : x
  2. Step 2: Convert to fraction form
    234,035/503,621 = 503,621/x
  3. Step 3: Cross multiply
    234,035x = 503,621 × 503,621
  4. Step 4: Simplify right side
    234,035x = 253,634,111,641
  5. Step 5: Solve for x
    x = 253,634,111,641/234,035
  6. Step 6: Final answer
    x = 1,083,744.36

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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.