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Finding the Third Proportional to 311,032 and 422,046

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Solution

The third proportional to 311,032 and 422,046 is: 572,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,032 : 422,046 = 422,046 : x
  2. Step 2: Convert to fraction form
    311,032/422,046 = 422,046/x
  3. Step 3: Cross multiply
    311,032x = 422,046 × 422,046
  4. Step 4: Simplify right side
    311,032x = 178,122,826,116
  5. Step 5: Solve for x
    x = 178,122,826,116/311,032
  6. Step 6: Final answer
    x = 572,683.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.