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Finding the Third Proportional to 285,232 and 443,624

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Solution

The third proportional to 285,232 and 443,624 is: 689,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,232 : 443,624 = 443,624 : x
  2. Step 2: Convert to fraction form
    285,232/443,624 = 443,624/x
  3. Step 3: Cross multiply
    285,232x = 443,624 × 443,624
  4. Step 4: Simplify right side
    285,232x = 196,802,253,376
  5. Step 5: Solve for x
    x = 196,802,253,376/285,232
  6. Step 6: Final answer
    x = 689,972.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.