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Finding the Third Proportional to 356,566 and 783,116

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Solution

The third proportional to 356,566 and 783,116 is: 1,719,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,566 : 783,116 = 783,116 : x
  2. Step 2: Convert to fraction form
    356,566/783,116 = 783,116/x
  3. Step 3: Cross multiply
    356,566x = 783,116 × 783,116
  4. Step 4: Simplify right side
    356,566x = 613,270,669,456
  5. Step 5: Solve for x
    x = 613,270,669,456/356,566
  6. Step 6: Final answer
    x = 1,719,935.91

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Why These Related Problems?

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