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Finding the Third Proportional to 233,754.75 and 503,578.13

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Solution

The third proportional to 233,754.75 and 503,578.13 is: 1,084,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,754.75 : 503,578.13 = 503,578.13 : x
  2. Step 2: Convert to fraction form
    233,754.75/503,578.13 = 503,578.13/x
  3. Step 3: Cross multiply
    233,754.75x = 503,578.13 × 503,578.13
  4. Step 4: Simplify right side
    233,754.75x = 253,590,927,978.52
  5. Step 5: Solve for x
    x = 253,590,927,978.52/233,754.75
  6. Step 6: Final answer
    x = 1,084,858.93

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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.