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Finding the Third Proportional to 356,562 and 783,099

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Solution

The third proportional to 356,562 and 783,099 is: 1,719,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,562 : 783,099 = 783,099 : x
  2. Step 2: Convert to fraction form
    356,562/783,099 = 783,099/x
  3. Step 3: Cross multiply
    356,562x = 783,099 × 783,099
  4. Step 4: Simplify right side
    356,562x = 613,244,043,801
  5. Step 5: Solve for x
    x = 613,244,043,801/356,562
  6. Step 6: Final answer
    x = 1,719,880.54

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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.