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Finding the Third Proportional to 664,208.44 and 1,057,402.69

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Solution

The third proportional to 664,208.44 and 1,057,402.69 is: 1,683,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,208.44 : 1,057,402.69 = 1,057,402.69 : x
  2. Step 2: Convert to fraction form
    664,208.44/1,057,402.69 = 1,057,402.69/x
  3. Step 3: Cross multiply
    664,208.44x = 1,057,402.69 × 1,057,402.69
  4. Step 4: Simplify right side
    664,208.44x = 1,118,100,443,532.22
  5. Step 5: Solve for x
    x = 1,118,100,443,532.22/664,208.44
  6. Step 6: Final answer
    x = 1,683,357.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.