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Finding the Third Proportional to 296,611 and 635,257

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Solution

The third proportional to 296,611 and 635,257 is: 1,360,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,611 : 635,257 = 635,257 : x
  2. Step 2: Convert to fraction form
    296,611/635,257 = 635,257/x
  3. Step 3: Cross multiply
    296,611x = 635,257 × 635,257
  4. Step 4: Simplify right side
    296,611x = 403,551,456,049
  5. Step 5: Solve for x
    x = 403,551,456,049/296,611
  6. Step 6: Final answer
    x = 1,360,541.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.