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Finding the Third Proportional to 232,617 and 503,877.75

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Solution

The third proportional to 232,617 and 503,877.75 is: 1,091,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,617 : 503,877.75 = 503,877.75 : x
  2. Step 2: Convert to fraction form
    232,617/503,877.75 = 503,877.75/x
  3. Step 3: Cross multiply
    232,617x = 503,877.75 × 503,877.75
  4. Step 4: Simplify right side
    232,617x = 253,892,786,945.06
  5. Step 5: Solve for x
    x = 253,892,786,945.06/232,617
  6. Step 6: Final answer
    x = 1,091,462.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.