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Finding the Third Proportional to 535,566 and 829,794

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Solution

The third proportional to 535,566 and 829,794 is: 1,285,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,566 : 829,794 = 829,794 : x
  2. Step 2: Convert to fraction form
    535,566/829,794 = 829,794/x
  3. Step 3: Cross multiply
    535,566x = 829,794 × 829,794
  4. Step 4: Simplify right side
    535,566x = 688,558,082,436
  5. Step 5: Solve for x
    x = 688,558,082,436/535,566
  6. Step 6: Final answer
    x = 1,285,664.29

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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.