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Finding the Third Proportional to 535,821 and 729,696

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Solution

The third proportional to 535,821 and 729,696 is: 993,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,821 : 729,696 = 729,696 : x
  2. Step 2: Convert to fraction form
    535,821/729,696 = 729,696/x
  3. Step 3: Cross multiply
    535,821x = 729,696 × 729,696
  4. Step 4: Simplify right side
    535,821x = 532,456,252,416
  5. Step 5: Solve for x
    x = 532,456,252,416/535,821
  6. Step 6: Final answer
    x = 993,720.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.