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Finding the Third Proportional to 666,530.25 and 952,470.75

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Solution

The third proportional to 666,530.25 and 952,470.75 is: 1,361,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,530.25 : 952,470.75 = 952,470.75 : x
  2. Step 2: Convert to fraction form
    666,530.25/952,470.75 = 952,470.75/x
  3. Step 3: Cross multiply
    666,530.25x = 952,470.75 × 952,470.75
  4. Step 4: Simplify right side
    666,530.25x = 907,200,529,605.56
  5. Step 5: Solve for x
    x = 907,200,529,605.56/666,530.25
  6. Step 6: Final answer
    x = 1,361,079.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.