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Finding the Third Proportional to 332,898 and 471,042

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Solution

The third proportional to 332,898 and 471,042 is: 666,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,898 : 471,042 = 471,042 : x
  2. Step 2: Convert to fraction form
    332,898/471,042 = 471,042/x
  3. Step 3: Cross multiply
    332,898x = 471,042 × 471,042
  4. Step 4: Simplify right side
    332,898x = 221,880,565,764
  5. Step 5: Solve for x
    x = 221,880,565,764/332,898
  6. Step 6: Final answer
    x = 666,512.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.