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Finding the Third Proportional to 299,481 and 452,340

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Solution

The third proportional to 299,481 and 452,340 is: 683,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,481 : 452,340 = 452,340 : x
  2. Step 2: Convert to fraction form
    299,481/452,340 = 452,340/x
  3. Step 3: Cross multiply
    299,481x = 452,340 × 452,340
  4. Step 4: Simplify right side
    299,481x = 204,611,475,600
  5. Step 5: Solve for x
    x = 204,611,475,600/299,481
  6. Step 6: Final answer
    x = 683,220.22

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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.