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Finding the Third Proportional to 334,292 and 696,232

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Solution

The third proportional to 334,292 and 696,232 is: 1,450,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,292 : 696,232 = 696,232 : x
  2. Step 2: Convert to fraction form
    334,292/696,232 = 696,232/x
  3. Step 3: Cross multiply
    334,292x = 696,232 × 696,232
  4. Step 4: Simplify right side
    334,292x = 484,738,997,824
  5. Step 5: Solve for x
    x = 484,738,997,824/334,292
  6. Step 6: Final answer
    x = 1,450,046.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.