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Finding the Third Proportional to 356,569 and 783,114

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Solution

The third proportional to 356,569 and 783,114 is: 1,719,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,569 : 783,114 = 783,114 : x
  2. Step 2: Convert to fraction form
    356,569/783,114 = 783,114/x
  3. Step 3: Cross multiply
    356,569x = 783,114 × 783,114
  4. Step 4: Simplify right side
    356,569x = 613,267,536,996
  5. Step 5: Solve for x
    x = 613,267,536,996/356,569
  6. Step 6: Final answer
    x = 1,719,912.66

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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.