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Finding the Third Proportional to 335,904 and 469,616

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Solution

The third proportional to 335,904 and 469,616 is: 656,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,904 : 469,616 = 469,616 : x
  2. Step 2: Convert to fraction form
    335,904/469,616 = 469,616/x
  3. Step 3: Cross multiply
    335,904x = 469,616 × 469,616
  4. Step 4: Simplify right side
    335,904x = 220,539,187,456
  5. Step 5: Solve for x
    x = 220,539,187,456/335,904
  6. Step 6: Final answer
    x = 656,554.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.