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Finding the Third Proportional to 299,635 and 452,658

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Solution

The third proportional to 299,635 and 452,658 is: 683,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,635 : 452,658 = 452,658 : x
  2. Step 2: Convert to fraction form
    299,635/452,658 = 452,658/x
  3. Step 3: Cross multiply
    299,635x = 452,658 × 452,658
  4. Step 4: Simplify right side
    299,635x = 204,899,264,964
  5. Step 5: Solve for x
    x = 204,899,264,964/299,635
  6. Step 6: Final answer
    x = 683,829.54

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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.