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Finding the Third Proportional to 297,400 and 609,296

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Solution

The third proportional to 297,400 and 609,296 is: 1,248,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,400 : 609,296 = 609,296 : x
  2. Step 2: Convert to fraction form
    297,400/609,296 = 609,296/x
  3. Step 3: Cross multiply
    297,400x = 609,296 × 609,296
  4. Step 4: Simplify right side
    297,400x = 371,241,615,616
  5. Step 5: Solve for x
    x = 371,241,615,616/297,400
  6. Step 6: Final answer
    x = 1,248,290.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.