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Finding the Third Proportional to 356,614 and 783,206

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Solution

The third proportional to 356,614 and 783,206 is: 1,720,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,614 : 783,206 = 783,206 : x
  2. Step 2: Convert to fraction form
    356,614/783,206 = 783,206/x
  3. Step 3: Cross multiply
    356,614x = 783,206 × 783,206
  4. Step 4: Simplify right side
    356,614x = 613,411,638,436
  5. Step 5: Solve for x
    x = 613,411,638,436/356,614
  6. Step 6: Final answer
    x = 1,720,099.71

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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.