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Finding the Third Proportional to 582,512 and 882,790

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Solution

The third proportional to 582,512 and 882,790 is: 1,337,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,512 : 882,790 = 882,790 : x
  2. Step 2: Convert to fraction form
    582,512/882,790 = 882,790/x
  3. Step 3: Cross multiply
    582,512x = 882,790 × 882,790
  4. Step 4: Simplify right side
    582,512x = 779,318,184,100
  5. Step 5: Solve for x
    x = 779,318,184,100/582,512
  6. Step 6: Final answer
    x = 1,337,857.73

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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.