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Finding the Third Proportional to 490,134 and 749,619

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Solution

The third proportional to 490,134 and 749,619 is: 1,146,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,134 : 749,619 = 749,619 : x
  2. Step 2: Convert to fraction form
    490,134/749,619 = 749,619/x
  3. Step 3: Cross multiply
    490,134x = 749,619 × 749,619
  4. Step 4: Simplify right side
    490,134x = 561,928,645,161
  5. Step 5: Solve for x
    x = 561,928,645,161/490,134
  6. Step 6: Final answer
    x = 1,146,479.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.