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Finding the Third Proportional to 529,049 and 792,340

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Solution

The third proportional to 529,049 and 792,340 is: 1,186,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,049 : 792,340 = 792,340 : x
  2. Step 2: Convert to fraction form
    529,049/792,340 = 792,340/x
  3. Step 3: Cross multiply
    529,049x = 792,340 × 792,340
  4. Step 4: Simplify right side
    529,049x = 627,802,675,600
  5. Step 5: Solve for x
    x = 627,802,675,600/529,049
  6. Step 6: Final answer
    x = 1,186,662.63

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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.