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Finding the Third Proportional to 325,733.91 and 469,911.38

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Solution

The third proportional to 325,733.91 and 469,911.38 is: 677,905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,733.91 : 469,911.38 = 469,911.38 : x
  2. Step 2: Convert to fraction form
    325,733.91/469,911.38 = 469,911.38/x
  3. Step 3: Cross multiply
    325,733.91x = 469,911.38 × 469,911.38
  4. Step 4: Simplify right side
    325,733.91x = 220,816,700,354.39
  5. Step 5: Solve for x
    x = 220,816,700,354.39/325,733.91
  6. Step 6: Final answer
    x = 677,905.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.