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Finding the Third Proportional to 490,644 and 730,782

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Solution

The third proportional to 490,644 and 730,782 is: 1,088,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,644 : 730,782 = 730,782 : x
  2. Step 2: Convert to fraction form
    490,644/730,782 = 730,782/x
  3. Step 3: Cross multiply
    490,644x = 730,782 × 730,782
  4. Step 4: Simplify right side
    490,644x = 534,042,331,524
  5. Step 5: Solve for x
    x = 534,042,331,524/490,644
  6. Step 6: Final answer
    x = 1,088,451.77

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Why These Related Problems?

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