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Finding the Third Proportional to 492,079 and 738,119

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Solution

The third proportional to 492,079 and 738,119 is: 1,107,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,079 : 738,119 = 738,119 : x
  2. Step 2: Convert to fraction form
    492,079/738,119 = 738,119/x
  3. Step 3: Cross multiply
    492,079x = 738,119 × 738,119
  4. Step 4: Simplify right side
    492,079x = 544,819,658,161
  5. Step 5: Solve for x
    x = 544,819,658,161/492,079
  6. Step 6: Final answer
    x = 1,107,179.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.