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Finding the Third Proportional to 232,842.50 and 503,057

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Solution

The third proportional to 232,842.50 and 503,057 is: 1,086,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,842.50 : 503,057 = 503,057 : x
  2. Step 2: Convert to fraction form
    232,842.50/503,057 = 503,057/x
  3. Step 3: Cross multiply
    232,842.50x = 503,057 × 503,057
  4. Step 4: Simplify right side
    232,842.50x = 253,066,345,249
  5. Step 5: Solve for x
    x = 253,066,345,249/232,842.50
  6. Step 6: Final answer
    x = 1,086,856.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.