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Finding the Third Proportional to 490,324 and 693,852

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Solution

The third proportional to 490,324 and 693,852 is: 981,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,324 : 693,852 = 693,852 : x
  2. Step 2: Convert to fraction form
    490,324/693,852 = 693,852/x
  3. Step 3: Cross multiply
    490,324x = 693,852 × 693,852
  4. Step 4: Simplify right side
    490,324x = 481,430,597,904
  5. Step 5: Solve for x
    x = 481,430,597,904/490,324
  6. Step 6: Final answer
    x = 981,862.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.