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Finding the Third Proportional to 324,432 and 693,700

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Solution

The third proportional to 324,432 and 693,700 is: 1,483,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,432 : 693,700 = 693,700 : x
  2. Step 2: Convert to fraction form
    324,432/693,700 = 693,700/x
  3. Step 3: Cross multiply
    324,432x = 693,700 × 693,700
  4. Step 4: Simplify right side
    324,432x = 481,219,690,000
  5. Step 5: Solve for x
    x = 481,219,690,000/324,432
  6. Step 6: Final answer
    x = 1,483,268.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.