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Finding the Third Proportional to 356,586 and 783,150

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Solution

The third proportional to 356,586 and 783,150 is: 1,719,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,586 : 783,150 = 783,150 : x
  2. Step 2: Convert to fraction form
    356,586/783,150 = 783,150/x
  3. Step 3: Cross multiply
    356,586x = 783,150 × 783,150
  4. Step 4: Simplify right side
    356,586x = 613,323,922,500
  5. Step 5: Solve for x
    x = 613,323,922,500/356,586
  6. Step 6: Final answer
    x = 1,719,988.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.