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Finding the Third Proportional to 323,133 and 452,799

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Solution

The third proportional to 323,133 and 452,799 is: 634,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,133 : 452,799 = 452,799 : x
  2. Step 2: Convert to fraction form
    323,133/452,799 = 452,799/x
  3. Step 3: Cross multiply
    323,133x = 452,799 × 452,799
  4. Step 4: Simplify right side
    323,133x = 205,026,934,401
  5. Step 5: Solve for x
    x = 205,026,934,401/323,133
  6. Step 6: Final answer
    x = 634,497.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.