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Finding the Third Proportional to 445,699.13 and 666,933.75

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Solution

The third proportional to 445,699.13 and 666,933.75 is: 997,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,699.13 : 666,933.75 = 666,933.75 : x
  2. Step 2: Convert to fraction form
    445,699.13/666,933.75 = 666,933.75/x
  3. Step 3: Cross multiply
    445,699.13x = 666,933.75 × 666,933.75
  4. Step 4: Simplify right side
    445,699.13x = 444,800,626,889.06
  5. Step 5: Solve for x
    x = 444,800,626,889.06/445,699.13
  6. Step 6: Final answer
    x = 997,984.07

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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.