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Finding the Third Proportional to 344,919 and 515,254.50

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Solution

The third proportional to 344,919 and 515,254.50 is: 769,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,919 : 515,254.50 = 515,254.50 : x
  2. Step 2: Convert to fraction form
    344,919/515,254.50 = 515,254.50/x
  3. Step 3: Cross multiply
    344,919x = 515,254.50 × 515,254.50
  4. Step 4: Simplify right side
    344,919x = 265,487,199,770.25
  5. Step 5: Solve for x
    x = 265,487,199,770.25/344,919
  6. Step 6: Final answer
    x = 769,708.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.