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Finding the Third Proportional to 519,329 and 821,633

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Solution

The third proportional to 519,329 and 821,633 is: 1,299,909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,329 : 821,633 = 821,633 : x
  2. Step 2: Convert to fraction form
    519,329/821,633 = 821,633/x
  3. Step 3: Cross multiply
    519,329x = 821,633 × 821,633
  4. Step 4: Simplify right side
    519,329x = 675,080,786,689
  5. Step 5: Solve for x
    x = 675,080,786,689/519,329
  6. Step 6: Final answer
    x = 1,299,909.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.