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Finding the Third Proportional to 297,844 and 604,328

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Solution

The third proportional to 297,844 and 604,328 is: 1,226,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,844 : 604,328 = 604,328 : x
  2. Step 2: Convert to fraction form
    297,844/604,328 = 604,328/x
  3. Step 3: Cross multiply
    297,844x = 604,328 × 604,328
  4. Step 4: Simplify right side
    297,844x = 365,212,331,584
  5. Step 5: Solve for x
    x = 365,212,331,584/297,844
  6. Step 6: Final answer
    x = 1,226,186.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.