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Finding the Third Proportional to 538,563.50 and 797,446.50

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Solution

The third proportional to 538,563.50 and 797,446.50 is: 1,180,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,563.50 : 797,446.50 = 797,446.50 : x
  2. Step 2: Convert to fraction form
    538,563.50/797,446.50 = 797,446.50/x
  3. Step 3: Cross multiply
    538,563.50x = 797,446.50 × 797,446.50
  4. Step 4: Simplify right side
    538,563.50x = 635,920,920,362.25
  5. Step 5: Solve for x
    x = 635,920,920,362.25/538,563.50
  6. Step 6: Final answer
    x = 1,180,772.41

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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.