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Finding the Third Proportional to 550,511 and 804,523

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Solution

The third proportional to 550,511 and 804,523 is: 1,175,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,511 : 804,523 = 804,523 : x
  2. Step 2: Convert to fraction form
    550,511/804,523 = 804,523/x
  3. Step 3: Cross multiply
    550,511x = 804,523 × 804,523
  4. Step 4: Simplify right side
    550,511x = 647,257,257,529
  5. Step 5: Solve for x
    x = 647,257,257,529/550,511
  6. Step 6: Final answer
    x = 1,175,739.01

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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.