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Finding the Third Proportional to 294,300 and 635,229

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Solution

The third proportional to 294,300 and 635,229 is: 1,371,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,300 : 635,229 = 635,229 : x
  2. Step 2: Convert to fraction form
    294,300/635,229 = 635,229/x
  3. Step 3: Cross multiply
    294,300x = 635,229 × 635,229
  4. Step 4: Simplify right side
    294,300x = 403,515,882,441
  5. Step 5: Solve for x
    x = 403,515,882,441/294,300
  6. Step 6: Final answer
    x = 1,371,103.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.