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Finding the Third Proportional to 297,234 and 641,844

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Solution

The third proportional to 297,234 and 641,844 is: 1,385,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,234 : 641,844 = 641,844 : x
  2. Step 2: Convert to fraction form
    297,234/641,844 = 641,844/x
  3. Step 3: Cross multiply
    297,234x = 641,844 × 641,844
  4. Step 4: Simplify right side
    297,234x = 411,963,720,336
  5. Step 5: Solve for x
    x = 411,963,720,336/297,234
  6. Step 6: Final answer
    x = 1,385,991.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.