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Finding the Third Proportional to 331,782 and 497,673

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Solution

The third proportional to 331,782 and 497,673 is: 746,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,782 : 497,673 = 497,673 : x
  2. Step 2: Convert to fraction form
    331,782/497,673 = 497,673/x
  3. Step 3: Cross multiply
    331,782x = 497,673 × 497,673
  4. Step 4: Simplify right side
    331,782x = 247,678,414,929
  5. Step 5: Solve for x
    x = 247,678,414,929/331,782
  6. Step 6: Final answer
    x = 746,509.50

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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.