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Finding the Third Proportional to 352,792 and 547,736

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Solution

The third proportional to 352,792 and 547,736 is: 850,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,792 : 547,736 = 547,736 : x
  2. Step 2: Convert to fraction form
    352,792/547,736 = 547,736/x
  3. Step 3: Cross multiply
    352,792x = 547,736 × 547,736
  4. Step 4: Simplify right side
    352,792x = 300,014,725,696
  5. Step 5: Solve for x
    x = 300,014,725,696/352,792
  6. Step 6: Final answer
    x = 850,401.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.