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Finding the Third Proportional to 388,883 and 635,007

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Solution

The third proportional to 388,883 and 635,007 is: 1,036,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,883 : 635,007 = 635,007 : x
  2. Step 2: Convert to fraction form
    388,883/635,007 = 635,007/x
  3. Step 3: Cross multiply
    388,883x = 635,007 × 635,007
  4. Step 4: Simplify right side
    388,883x = 403,233,890,049
  5. Step 5: Solve for x
    x = 403,233,890,049/388,883
  6. Step 6: Final answer
    x = 1,036,902.85

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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.