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Finding the Third Proportional to 352,512 and 775,008

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Solution

The third proportional to 352,512 and 775,008 is: 1,703,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,512 : 775,008 = 775,008 : x
  2. Step 2: Convert to fraction form
    352,512/775,008 = 775,008/x
  3. Step 3: Cross multiply
    352,512x = 775,008 × 775,008
  4. Step 4: Simplify right side
    352,512x = 600,637,400,064
  5. Step 5: Solve for x
    x = 600,637,400,064/352,512
  6. Step 6: Final answer
    x = 1,703,877.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.