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Finding the Third Proportional to 281,233.50 and 663,477

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Solution

The third proportional to 281,233.50 and 663,477 is: 1,565,253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,233.50 : 663,477 = 663,477 : x
  2. Step 2: Convert to fraction form
    281,233.50/663,477 = 663,477/x
  3. Step 3: Cross multiply
    281,233.50x = 663,477 × 663,477
  4. Step 4: Simplify right side
    281,233.50x = 440,201,729,529
  5. Step 5: Solve for x
    x = 440,201,729,529/281,233.50
  6. Step 6: Final answer
    x = 1,565,253.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.