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Finding the Third Proportional to 394,234 and 617,726

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Solution

The third proportional to 394,234 and 617,726 is: 967,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,234 : 617,726 = 617,726 : x
  2. Step 2: Convert to fraction form
    394,234/617,726 = 617,726/x
  3. Step 3: Cross multiply
    394,234x = 617,726 × 617,726
  4. Step 4: Simplify right side
    394,234x = 381,585,411,076
  5. Step 5: Solve for x
    x = 381,585,411,076/394,234
  6. Step 6: Final answer
    x = 967,916.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.