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Finding the Third Proportional to 207,411 and 329,799

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Solution

The third proportional to 207,411 and 329,799 is: 524,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,411 : 329,799 = 329,799 : x
  2. Step 2: Convert to fraction form
    207,411/329,799 = 329,799/x
  3. Step 3: Cross multiply
    207,411x = 329,799 × 329,799
  4. Step 4: Simplify right side
    207,411x = 108,767,380,401
  5. Step 5: Solve for x
    x = 108,767,380,401/207,411
  6. Step 6: Final answer
    x = 524,405.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.