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Finding the Third Proportional to 324,304 and 696,560

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Solution

The third proportional to 324,304 and 696,560 is: 1,496,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,304 : 696,560 = 696,560 : x
  2. Step 2: Convert to fraction form
    324,304/696,560 = 696,560/x
  3. Step 3: Cross multiply
    324,304x = 696,560 × 696,560
  4. Step 4: Simplify right side
    324,304x = 485,195,833,600
  5. Step 5: Solve for x
    x = 485,195,833,600/324,304
  6. Step 6: Final answer
    x = 1,496,114.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.