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Finding the Third Proportional to 356,400 and 471,096

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Solution

The third proportional to 356,400 and 471,096 is: 622,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,400 : 471,096 = 471,096 : x
  2. Step 2: Convert to fraction form
    356,400/471,096 = 471,096/x
  3. Step 3: Cross multiply
    356,400x = 471,096 × 471,096
  4. Step 4: Simplify right side
    356,400x = 221,931,441,216
  5. Step 5: Solve for x
    x = 221,931,441,216/356,400
  6. Step 6: Final answer
    x = 622,703.26

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.