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Finding the Third Proportional to 535,092 and 804,582

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Solution

The third proportional to 535,092 and 804,582 is: 1,209,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,092 : 804,582 = 804,582 : x
  2. Step 2: Convert to fraction form
    535,092/804,582 = 804,582/x
  3. Step 3: Cross multiply
    535,092x = 804,582 × 804,582
  4. Step 4: Simplify right side
    535,092x = 647,352,194,724
  5. Step 5: Solve for x
    x = 647,352,194,724/535,092
  6. Step 6: Final answer
    x = 1,209,796.06

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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.