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Finding the Third Proportional to 414,640 and 635,064

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Solution

The third proportional to 414,640 and 635,064 is: 972,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,640 : 635,064 = 635,064 : x
  2. Step 2: Convert to fraction form
    414,640/635,064 = 635,064/x
  3. Step 3: Cross multiply
    414,640x = 635,064 × 635,064
  4. Step 4: Simplify right side
    414,640x = 403,306,284,096
  5. Step 5: Solve for x
    x = 403,306,284,096/414,640
  6. Step 6: Final answer
    x = 972,666.13

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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.