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Finding the Third Proportional to 455,200 and 997,476

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Solution

The third proportional to 455,200 and 997,476 is: 2,185,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,200 : 997,476 = 997,476 : x
  2. Step 2: Convert to fraction form
    455,200/997,476 = 997,476/x
  3. Step 3: Cross multiply
    455,200x = 997,476 × 997,476
  4. Step 4: Simplify right side
    455,200x = 994,958,370,576
  5. Step 5: Solve for x
    x = 994,958,370,576/455,200
  6. Step 6: Final answer
    x = 2,185,760.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.