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Finding the Third Proportional to 529,771 and 792,539

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Solution

The third proportional to 529,771 and 792,539 is: 1,185,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,771 : 792,539 = 792,539 : x
  2. Step 2: Convert to fraction form
    529,771/792,539 = 792,539/x
  3. Step 3: Cross multiply
    529,771x = 792,539 × 792,539
  4. Step 4: Simplify right side
    529,771x = 628,118,066,521
  5. Step 5: Solve for x
    x = 628,118,066,521/529,771
  6. Step 6: Final answer
    x = 1,185,640.71

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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.