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Finding the Third Proportional to 535,627.69 and 726,625.69

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Solution

The third proportional to 535,627.69 and 726,625.69 is: 985,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,627.69 : 726,625.69 = 726,625.69 : x
  2. Step 2: Convert to fraction form
    535,627.69/726,625.69 = 726,625.69/x
  3. Step 3: Cross multiply
    535,627.69x = 726,625.69 × 726,625.69
  4. Step 4: Simplify right side
    535,627.69x = 527,984,889,734.85
  5. Step 5: Solve for x
    x = 527,984,889,734.85/535,627.69
  6. Step 6: Final answer
    x = 985,731.14

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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.