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Finding the Third Proportional to 251,754.75 and 532,669.50

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Solution

The third proportional to 251,754.75 and 532,669.50 is: 1,127,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,754.75 : 532,669.50 = 532,669.50 : x
  2. Step 2: Convert to fraction form
    251,754.75/532,669.50 = 532,669.50/x
  3. Step 3: Cross multiply
    251,754.75x = 532,669.50 × 532,669.50
  4. Step 4: Simplify right side
    251,754.75x = 283,736,796,230.25
  5. Step 5: Solve for x
    x = 283,736,796,230.25/251,754.75
  6. Step 6: Final answer
    x = 1,127,036.52

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.