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Finding the Third Proportional to 550,533 and 804,559

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Solution

The third proportional to 550,533 and 804,559 is: 1,175,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,533 : 804,559 = 804,559 : x
  2. Step 2: Convert to fraction form
    550,533/804,559 = 804,559/x
  3. Step 3: Cross multiply
    550,533x = 804,559 × 804,559
  4. Step 4: Simplify right side
    550,533x = 647,315,184,481
  5. Step 5: Solve for x
    x = 647,315,184,481/550,533
  6. Step 6: Final answer
    x = 1,175,797.24

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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.