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Finding the Third Proportional to 324,492 and 696,960

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Solution

The third proportional to 324,492 and 696,960 is: 1,496,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,492 : 696,960 = 696,960 : x
  2. Step 2: Convert to fraction form
    324,492/696,960 = 696,960/x
  3. Step 3: Cross multiply
    324,492x = 696,960 × 696,960
  4. Step 4: Simplify right side
    324,492x = 485,753,241,600
  5. Step 5: Solve for x
    x = 485,753,241,600/324,492
  6. Step 6: Final answer
    x = 1,496,965.23

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