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Finding the Third Proportional to 434,166.75 and 670,932.75

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Solution

The third proportional to 434,166.75 and 670,932.75 is: 1,036,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,166.75 : 670,932.75 = 670,932.75 : x
  2. Step 2: Convert to fraction form
    434,166.75/670,932.75 = 670,932.75/x
  3. Step 3: Cross multiply
    434,166.75x = 670,932.75 × 670,932.75
  4. Step 4: Simplify right side
    434,166.75x = 450,150,755,022.56
  5. Step 5: Solve for x
    x = 450,150,755,022.56/434,166.75
  6. Step 6: Final answer
    x = 1,036,815.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.