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Finding the Third Proportional to 356,884 and 521,080

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Solution

The third proportional to 356,884 and 521,080 is: 760,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,884 : 521,080 = 521,080 : x
  2. Step 2: Convert to fraction form
    356,884/521,080 = 521,080/x
  3. Step 3: Cross multiply
    356,884x = 521,080 × 521,080
  4. Step 4: Simplify right side
    356,884x = 271,524,366,400
  5. Step 5: Solve for x
    x = 271,524,366,400/356,884
  6. Step 6: Final answer
    x = 760,819.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.