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Finding the Third Proportional to 332,916 and 471,068

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Solution

The third proportional to 332,916 and 471,068 is: 666,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,916 : 471,068 = 471,068 : x
  2. Step 2: Convert to fraction form
    332,916/471,068 = 471,068/x
  3. Step 3: Cross multiply
    332,916x = 471,068 × 471,068
  4. Step 4: Simplify right side
    332,916x = 221,905,060,624
  5. Step 5: Solve for x
    x = 221,905,060,624/332,916
  6. Step 6: Final answer
    x = 666,549.70

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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.