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Finding the Third Proportional to 259,710.75 and 553,866.75

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Solution

The third proportional to 259,710.75 and 553,866.75 is: 1,181,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,710.75 : 553,866.75 = 553,866.75 : x
  2. Step 2: Convert to fraction form
    259,710.75/553,866.75 = 553,866.75/x
  3. Step 3: Cross multiply
    259,710.75x = 553,866.75 × 553,866.75
  4. Step 4: Simplify right side
    259,710.75x = 306,768,376,755.56
  5. Step 5: Solve for x
    x = 306,768,376,755.56/259,710.75
  6. Step 6: Final answer
    x = 1,181,192.45

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.