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Finding the Third Proportional to 456,270.75 and 660,879

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Solution

The third proportional to 456,270.75 and 660,879 is: 957,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,270.75 : 660,879 = 660,879 : x
  2. Step 2: Convert to fraction form
    456,270.75/660,879 = 660,879/x
  3. Step 3: Cross multiply
    456,270.75x = 660,879 × 660,879
  4. Step 4: Simplify right side
    456,270.75x = 436,761,052,641
  5. Step 5: Solve for x
    x = 436,761,052,641/456,270.75
  6. Step 6: Final answer
    x = 957,240.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.