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Finding the Third Proportional to 490,782 and 736,173

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Solution

The third proportional to 490,782 and 736,173 is: 1,104,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,782 : 736,173 = 736,173 : x
  2. Step 2: Convert to fraction form
    490,782/736,173 = 736,173/x
  3. Step 3: Cross multiply
    490,782x = 736,173 × 736,173
  4. Step 4: Simplify right side
    490,782x = 541,950,685,929
  5. Step 5: Solve for x
    x = 541,950,685,929/490,782
  6. Step 6: Final answer
    x = 1,104,259.50

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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.