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Finding the Third Proportional to 297,922 and 645,872

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Solution

The third proportional to 297,922 and 645,872 is: 1,400,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,922 : 645,872 = 645,872 : x
  2. Step 2: Convert to fraction form
    297,922/645,872 = 645,872/x
  3. Step 3: Cross multiply
    297,922x = 645,872 × 645,872
  4. Step 4: Simplify right side
    297,922x = 417,150,640,384
  5. Step 5: Solve for x
    x = 417,150,640,384/297,922
  6. Step 6: Final answer
    x = 1,400,200.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.