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Finding the Third Proportional to 269,527.50 and 417,276.56

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Solution

The third proportional to 269,527.50 and 417,276.56 is: 646,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,527.50 : 417,276.56 = 417,276.56 : x
  2. Step 2: Convert to fraction form
    269,527.50/417,276.56 = 417,276.56/x
  3. Step 3: Cross multiply
    269,527.50x = 417,276.56 × 417,276.56
  4. Step 4: Simplify right side
    269,527.50x = 174,119,729,611.82
  5. Step 5: Solve for x
    x = 174,119,729,611.82/269,527.50
  6. Step 6: Final answer
    x = 646,018.42

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