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Finding the Third Proportional to 472,208 and 701,616

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Solution

The third proportional to 472,208 and 701,616 is: 1,042,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,208 : 701,616 = 701,616 : x
  2. Step 2: Convert to fraction form
    472,208/701,616 = 701,616/x
  3. Step 3: Cross multiply
    472,208x = 701,616 × 701,616
  4. Step 4: Simplify right side
    472,208x = 492,265,011,456
  5. Step 5: Solve for x
    x = 492,265,011,456/472,208
  6. Step 6: Final answer
    x = 1,042,474.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.