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Finding the Third Proportional to 299,121 and 452,242

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Solution

The third proportional to 299,121 and 452,242 is: 683,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,121 : 452,242 = 452,242 : x
  2. Step 2: Convert to fraction form
    299,121/452,242 = 452,242/x
  3. Step 3: Cross multiply
    299,121x = 452,242 × 452,242
  4. Step 4: Simplify right side
    299,121x = 204,522,826,564
  5. Step 5: Solve for x
    x = 204,522,826,564/299,121
  6. Step 6: Final answer
    x = 683,746.13

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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.