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Finding the Third Proportional to 345,306.80 and 749,662.59

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Solution

The third proportional to 345,306.80 and 749,662.59 is: 1,627,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,306.80 : 749,662.59 = 749,662.59 : x
  2. Step 2: Convert to fraction form
    345,306.80/749,662.59 = 749,662.59/x
  3. Step 3: Cross multiply
    345,306.80x = 749,662.59 × 749,662.59
  4. Step 4: Simplify right side
    345,306.80x = 561,994,004,467.98
  5. Step 5: Solve for x
    x = 561,994,004,467.98/345,306.80
  6. Step 6: Final answer
    x = 1,627,520.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.