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Finding the Third Proportional to 635,970 and 863,598

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Solution

The third proportional to 635,970 and 863,598 is: 1,172,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,970 : 863,598 = 863,598 : x
  2. Step 2: Convert to fraction form
    635,970/863,598 = 863,598/x
  3. Step 3: Cross multiply
    635,970x = 863,598 × 863,598
  4. Step 4: Simplify right side
    635,970x = 745,801,505,604
  5. Step 5: Solve for x
    x = 745,801,505,604/635,970
  6. Step 6: Final answer
    x = 1,172,699.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.