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Finding the Third Proportional to 299,472.75 and 452,322

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Solution

The third proportional to 299,472.75 and 452,322 is: 683,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,472.75 : 452,322 = 452,322 : x
  2. Step 2: Convert to fraction form
    299,472.75/452,322 = 452,322/x
  3. Step 3: Cross multiply
    299,472.75x = 452,322 × 452,322
  4. Step 4: Simplify right side
    299,472.75x = 204,595,191,684
  5. Step 5: Solve for x
    x = 204,595,191,684/299,472.75
  6. Step 6: Final answer
    x = 683,184.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.