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Finding the Third Proportional to 535,090 and 804,579

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Solution

The third proportional to 535,090 and 804,579 is: 1,209,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,090 : 804,579 = 804,579 : x
  2. Step 2: Convert to fraction form
    535,090/804,579 = 804,579/x
  3. Step 3: Cross multiply
    535,090x = 804,579 × 804,579
  4. Step 4: Simplify right side
    535,090x = 647,347,367,241
  5. Step 5: Solve for x
    x = 647,347,367,241/535,090
  6. Step 6: Final answer
    x = 1,209,791.56

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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.