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Finding the Third Proportional to 550,524 and 804,539

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Solution

The third proportional to 550,524 and 804,539 is: 1,175,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,524 : 804,539 = 804,539 : x
  2. Step 2: Convert to fraction form
    550,524/804,539 = 804,539/x
  3. Step 3: Cross multiply
    550,524x = 804,539 × 804,539
  4. Step 4: Simplify right side
    550,524x = 647,283,002,521
  5. Step 5: Solve for x
    x = 647,283,002,521/550,524
  6. Step 6: Final answer
    x = 1,175,758.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.