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Finding the Third Proportional to 295,652 and 635,584

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Solution

The third proportional to 295,652 and 635,584 is: 1,366,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,652 : 635,584 = 635,584 : x
  2. Step 2: Convert to fraction form
    295,652/635,584 = 635,584/x
  3. Step 3: Cross multiply
    295,652x = 635,584 × 635,584
  4. Step 4: Simplify right side
    295,652x = 403,967,021,056
  5. Step 5: Solve for x
    x = 403,967,021,056/295,652
  6. Step 6: Final answer
    x = 1,366,359.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.