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Finding the Third Proportional to 529,192 and 794,981

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Solution

The third proportional to 529,192 and 794,981 is: 1,194,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,192 : 794,981 = 794,981 : x
  2. Step 2: Convert to fraction form
    529,192/794,981 = 794,981/x
  3. Step 3: Cross multiply
    529,192x = 794,981 × 794,981
  4. Step 4: Simplify right side
    529,192x = 631,994,790,361
  5. Step 5: Solve for x
    x = 631,994,790,361/529,192
  6. Step 6: Final answer
    x = 1,194,263.69

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Why These Related Problems?

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