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Finding the Third Proportional to 296,372 and 647,176

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Solution

The third proportional to 296,372 and 647,176 is: 1,413,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,372 : 647,176 = 647,176 : x
  2. Step 2: Convert to fraction form
    296,372/647,176 = 647,176/x
  3. Step 3: Cross multiply
    296,372x = 647,176 × 647,176
  4. Step 4: Simplify right side
    296,372x = 418,836,774,976
  5. Step 5: Solve for x
    x = 418,836,774,976/296,372
  6. Step 6: Final answer
    x = 1,413,213.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.