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Finding the Third Proportional to 299,430 and 452,264

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Solution

The third proportional to 299,430 and 452,264 is: 683,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,430 : 452,264 = 452,264 : x
  2. Step 2: Convert to fraction form
    299,430/452,264 = 452,264/x
  3. Step 3: Cross multiply
    299,430x = 452,264 × 452,264
  4. Step 4: Simplify right side
    299,430x = 204,542,725,696
  5. Step 5: Solve for x
    x = 204,542,725,696/299,430
  6. Step 6: Final answer
    x = 683,106.99

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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.