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Finding the Third Proportional to 382,913 and 635,970

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Solution

The third proportional to 382,913 and 635,970 is: 1,056,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,913 : 635,970 = 635,970 : x
  2. Step 2: Convert to fraction form
    382,913/635,970 = 635,970/x
  3. Step 3: Cross multiply
    382,913x = 635,970 × 635,970
  4. Step 4: Simplify right side
    382,913x = 404,457,840,900
  5. Step 5: Solve for x
    x = 404,457,840,900/382,913
  6. Step 6: Final answer
    x = 1,056,265.63

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.