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Finding the Third Proportional to 233,886 and 504,672

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Solution

The third proportional to 233,886 and 504,672 is: 1,088,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,886 : 504,672 = 504,672 : x
  2. Step 2: Convert to fraction form
    233,886/504,672 = 504,672/x
  3. Step 3: Cross multiply
    233,886x = 504,672 × 504,672
  4. Step 4: Simplify right side
    233,886x = 254,693,827,584
  5. Step 5: Solve for x
    x = 254,693,827,584/233,886
  6. Step 6: Final answer
    x = 1,088,965.68

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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.