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Finding the Third Proportional to 329,736 and 710,664

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Solution

The third proportional to 329,736 and 710,664 is: 1,531,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,736 : 710,664 = 710,664 : x
  2. Step 2: Convert to fraction form
    329,736/710,664 = 710,664/x
  3. Step 3: Cross multiply
    329,736x = 710,664 × 710,664
  4. Step 4: Simplify right side
    329,736x = 505,043,320,896
  5. Step 5: Solve for x
    x = 505,043,320,896/329,736
  6. Step 6: Final answer
    x = 1,531,659.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.