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Finding the Third Proportional to 550,549 and 804,576

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Solution

The third proportional to 550,549 and 804,576 is: 1,175,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,549 : 804,576 = 804,576 : x
  2. Step 2: Convert to fraction form
    550,549/804,576 = 804,576/x
  3. Step 3: Cross multiply
    550,549x = 804,576 × 804,576
  4. Step 4: Simplify right side
    550,549x = 647,342,539,776
  5. Step 5: Solve for x
    x = 647,342,539,776/550,549
  6. Step 6: Final answer
    x = 1,175,812.76

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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.