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Finding the Third Proportional to 554,184 and 892,476

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Solution

The third proportional to 554,184 and 892,476 is: 1,437,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,184 : 892,476 = 892,476 : x
  2. Step 2: Convert to fraction form
    554,184/892,476 = 892,476/x
  3. Step 3: Cross multiply
    554,184x = 892,476 × 892,476
  4. Step 4: Simplify right side
    554,184x = 796,513,410,576
  5. Step 5: Solve for x
    x = 796,513,410,576/554,184
  6. Step 6: Final answer
    x = 1,437,272.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.