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Finding the Third Proportional to 532,104 and 797,374

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Solution

The third proportional to 532,104 and 797,374 is: 1,194,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,104 : 797,374 = 797,374 : x
  2. Step 2: Convert to fraction form
    532,104/797,374 = 797,374/x
  3. Step 3: Cross multiply
    532,104x = 797,374 × 797,374
  4. Step 4: Simplify right side
    532,104x = 635,805,295,876
  5. Step 5: Solve for x
    x = 635,805,295,876/532,104
  6. Step 6: Final answer
    x = 1,194,889.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.