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Finding the Third Proportional to 293,709 and 635,532

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Solution

The third proportional to 293,709 and 635,532 is: 1,375,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,709 : 635,532 = 635,532 : x
  2. Step 2: Convert to fraction form
    293,709/635,532 = 635,532/x
  3. Step 3: Cross multiply
    293,709x = 635,532 × 635,532
  4. Step 4: Simplify right side
    293,709x = 403,900,923,024
  5. Step 5: Solve for x
    x = 403,900,923,024/293,709
  6. Step 6: Final answer
    x = 1,375,173.80

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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.