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Finding the Third Proportional to 442,914.75 and 666,060.75

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Solution

The third proportional to 442,914.75 and 666,060.75 is: 1,001,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,914.75 : 666,060.75 = 666,060.75 : x
  2. Step 2: Convert to fraction form
    442,914.75/666,060.75 = 666,060.75/x
  3. Step 3: Cross multiply
    442,914.75x = 666,060.75 × 666,060.75
  4. Step 4: Simplify right side
    442,914.75x = 443,636,922,690.56
  5. Step 5: Solve for x
    x = 443,636,922,690.56/442,914.75
  6. Step 6: Final answer
    x = 1,001,630.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.