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Finding the Third Proportional to 233,761.88 and 504,428.25

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Solution

The third proportional to 233,761.88 and 504,428.25 is: 1,088,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,761.88 : 504,428.25 = 504,428.25 : x
  2. Step 2: Convert to fraction form
    233,761.88/504,428.25 = 504,428.25/x
  3. Step 3: Cross multiply
    233,761.88x = 504,428.25 × 504,428.25
  4. Step 4: Simplify right side
    233,761.88x = 254,447,859,398.06
  5. Step 5: Solve for x
    x = 254,447,859,398.06/233,761.88
  6. Step 6: Final answer
    x = 1,088,491.69

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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.