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Finding the Third Proportional to 297,245 and 646,978

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Solution

The third proportional to 297,245 and 646,978 is: 1,408,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,245 : 646,978 = 646,978 : x
  2. Step 2: Convert to fraction form
    297,245/646,978 = 646,978/x
  3. Step 3: Cross multiply
    297,245x = 646,978 × 646,978
  4. Step 4: Simplify right side
    297,245x = 418,580,532,484
  5. Step 5: Solve for x
    x = 418,580,532,484/297,245
  6. Step 6: Final answer
    x = 1,408,200.42

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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.