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Finding the Third Proportional to 352,082 and 758,920

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Solution

The third proportional to 352,082 and 758,920 is: 1,635,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,082 : 758,920 = 758,920 : x
  2. Step 2: Convert to fraction form
    352,082/758,920 = 758,920/x
  3. Step 3: Cross multiply
    352,082x = 758,920 × 758,920
  4. Step 4: Simplify right side
    352,082x = 575,959,566,400
  5. Step 5: Solve for x
    x = 575,959,566,400/352,082
  6. Step 6: Final answer
    x = 1,635,867.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.