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Finding the Third Proportional to 535,086 and 804,573

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Solution

The third proportional to 535,086 and 804,573 is: 1,209,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,086 : 804,573 = 804,573 : x
  2. Step 2: Convert to fraction form
    535,086/804,573 = 804,573/x
  3. Step 3: Cross multiply
    535,086x = 804,573 × 804,573
  4. Step 4: Simplify right side
    535,086x = 647,337,712,329
  5. Step 5: Solve for x
    x = 647,337,712,329/535,086
  6. Step 6: Final answer
    x = 1,209,782.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.