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Finding the Third Proportional to 535,891 and 829,405

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Solution

The third proportional to 535,891 and 829,405 is: 1,283,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,891 : 829,405 = 829,405 : x
  2. Step 2: Convert to fraction form
    535,891/829,405 = 829,405/x
  3. Step 3: Cross multiply
    535,891x = 829,405 × 829,405
  4. Step 4: Simplify right side
    535,891x = 687,912,654,025
  5. Step 5: Solve for x
    x = 687,912,654,025/535,891
  6. Step 6: Final answer
    x = 1,283,680.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.