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Finding the Third Proportional to 664,240.50 and 1,057,451.63

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Solution

The third proportional to 664,240.50 and 1,057,451.63 is: 1,683,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,240.50 : 1,057,451.63 = 1,057,451.63 : x
  2. Step 2: Convert to fraction form
    664,240.50/1,057,451.63 = 1,057,451.63/x
  3. Step 3: Cross multiply
    664,240.50x = 1,057,451.63 × 1,057,451.63
  4. Step 4: Simplify right side
    664,240.50x = 1,118,203,939,215.14
  5. Step 5: Solve for x
    x = 1,118,203,939,215.14/664,240.50
  6. Step 6: Final answer
    x = 1,683,432.34

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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.