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Finding the Third Proportional to 414,647 and 635,076

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Solution

The third proportional to 414,647 and 635,076 is: 972,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,647 : 635,076 = 635,076 : x
  2. Step 2: Convert to fraction form
    414,647/635,076 = 635,076/x
  3. Step 3: Cross multiply
    414,647x = 635,076 × 635,076
  4. Step 4: Simplify right side
    414,647x = 403,321,525,776
  5. Step 5: Solve for x
    x = 403,321,525,776/414,647
  6. Step 6: Final answer
    x = 972,686.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.