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Finding the Third Proportional to 259,270.88 and 554,505.75

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Solution

The third proportional to 259,270.88 and 554,505.75 is: 1,185,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,270.88 : 554,505.75 = 554,505.75 : x
  2. Step 2: Convert to fraction form
    259,270.88/554,505.75 = 554,505.75/x
  3. Step 3: Cross multiply
    259,270.88x = 554,505.75 × 554,505.75
  4. Step 4: Simplify right side
    259,270.88x = 307,476,626,783.06
  5. Step 5: Solve for x
    x = 307,476,626,783.06/259,270.88
  6. Step 6: Final answer
    x = 1,185,928.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.