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Finding the Third Proportional to 536,530 and 804,859

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Solution

The third proportional to 536,530 and 804,859 is: 1,207,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,530 : 804,859 = 804,859 : x
  2. Step 2: Convert to fraction form
    536,530/804,859 = 804,859/x
  3. Step 3: Cross multiply
    536,530x = 804,859 × 804,859
  4. Step 4: Simplify right side
    536,530x = 647,798,009,881
  5. Step 5: Solve for x
    x = 647,798,009,881/536,530
  6. Step 6: Final answer
    x = 1,207,384.51

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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.