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Finding the Third Proportional to 352,528 and 775,039

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Solution

The third proportional to 352,528 and 775,039 is: 1,703,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,528 : 775,039 = 775,039 : x
  2. Step 2: Convert to fraction form
    352,528/775,039 = 775,039/x
  3. Step 3: Cross multiply
    352,528x = 775,039 × 775,039
  4. Step 4: Simplify right side
    352,528x = 600,685,451,521
  5. Step 5: Solve for x
    x = 600,685,451,521/352,528
  6. Step 6: Final answer
    x = 1,703,936.85

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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.