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Finding the Third Proportional to 535,858 and 729,751

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Solution

The third proportional to 535,858 and 729,751 is: 993,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,858 : 729,751 = 729,751 : x
  2. Step 2: Convert to fraction form
    535,858/729,751 = 729,751/x
  3. Step 3: Cross multiply
    535,858x = 729,751 × 729,751
  4. Step 4: Simplify right side
    535,858x = 532,536,522,001
  5. Step 5: Solve for x
    x = 532,536,522,001/535,858
  6. Step 6: Final answer
    x = 993,801.57

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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.