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Finding the Third Proportional to 444,476 and 635,142

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Solution

The third proportional to 444,476 and 635,142 is: 907,597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,476 : 635,142 = 635,142 : x
  2. Step 2: Convert to fraction form
    444,476/635,142 = 635,142/x
  3. Step 3: Cross multiply
    444,476x = 635,142 × 635,142
  4. Step 4: Simplify right side
    444,476x = 403,405,360,164
  5. Step 5: Solve for x
    x = 403,405,360,164/444,476
  6. Step 6: Final answer
    x = 907,597.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.