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Finding the Third Proportional to 457,710.75 and 957,249

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Solution

The third proportional to 457,710.75 and 957,249 is: 2,001,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,710.75 : 957,249 = 957,249 : x
  2. Step 2: Convert to fraction form
    457,710.75/957,249 = 957,249/x
  3. Step 3: Cross multiply
    457,710.75x = 957,249 × 957,249
  4. Step 4: Simplify right side
    457,710.75x = 916,325,648,001
  5. Step 5: Solve for x
    x = 916,325,648,001/457,710.75
  6. Step 6: Final answer
    x = 2,001,975.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.