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Finding the Third Proportional to 529,710 and 806,805

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Solution

The third proportional to 529,710 and 806,805 is: 1,228,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,710 : 806,805 = 806,805 : x
  2. Step 2: Convert to fraction form
    529,710/806,805 = 806,805/x
  3. Step 3: Cross multiply
    529,710x = 806,805 × 806,805
  4. Step 4: Simplify right side
    529,710x = 650,934,308,025
  5. Step 5: Solve for x
    x = 650,934,308,025/529,710
  6. Step 6: Final answer
    x = 1,228,850.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.