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Finding the Third Proportional to 504,246.75 and 1,092,497.25

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Solution

The third proportional to 504,246.75 and 1,092,497.25 is: 2,366,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,246.75 : 1,092,497.25 = 1,092,497.25 : x
  2. Step 2: Convert to fraction form
    504,246.75/1,092,497.25 = 1,092,497.25/x
  3. Step 3: Cross multiply
    504,246.75x = 1,092,497.25 × 1,092,497.25
  4. Step 4: Simplify right side
    504,246.75x = 1,193,550,241,257.56
  5. Step 5: Solve for x
    x = 1,193,550,241,257.56/504,246.75
  6. Step 6: Final answer
    x = 2,366,996.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.