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Finding the Third Proportional to 388,885 and 635,010

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Solution

The third proportional to 388,885 and 635,010 is: 1,036,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,885 : 635,010 = 635,010 : x
  2. Step 2: Convert to fraction form
    388,885/635,010 = 635,010/x
  3. Step 3: Cross multiply
    388,885x = 635,010 × 635,010
  4. Step 4: Simplify right side
    388,885x = 403,237,700,100
  5. Step 5: Solve for x
    x = 403,237,700,100/388,885
  6. Step 6: Final answer
    x = 1,036,907.31

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.