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Finding the Third Proportional to 299,728 and 452,769

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Solution

The third proportional to 299,728 and 452,769 is: 683,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,728 : 452,769 = 452,769 : x
  2. Step 2: Convert to fraction form
    299,728/452,769 = 452,769/x
  3. Step 3: Cross multiply
    299,728x = 452,769 × 452,769
  4. Step 4: Simplify right side
    299,728x = 204,999,767,361
  5. Step 5: Solve for x
    x = 204,999,767,361/299,728
  6. Step 6: Final answer
    x = 683,952.67

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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.