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Finding the Third Proportional to 293,680 and 643,616

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Solution

The third proportional to 293,680 and 643,616 is: 1,410,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,680 : 643,616 = 643,616 : x
  2. Step 2: Convert to fraction form
    293,680/643,616 = 643,616/x
  3. Step 3: Cross multiply
    293,680x = 643,616 × 643,616
  4. Step 4: Simplify right side
    293,680x = 414,241,555,456
  5. Step 5: Solve for x
    x = 414,241,555,456/293,680
  6. Step 6: Final answer
    x = 1,410,520.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.