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Finding the Third Proportional to 538,284 and 797,002

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Solution

The third proportional to 538,284 and 797,002 is: 1,180,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,284 : 797,002 = 797,002 : x
  2. Step 2: Convert to fraction form
    538,284/797,002 = 797,002/x
  3. Step 3: Cross multiply
    538,284x = 797,002 × 797,002
  4. Step 4: Simplify right side
    538,284x = 635,212,188,004
  5. Step 5: Solve for x
    x = 635,212,188,004/538,284
  6. Step 6: Final answer
    x = 1,180,068.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.