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Finding the Third Proportional to 301,714 and 624,296

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Solution

The third proportional to 301,714 and 624,296 is: 1,291,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,714 : 624,296 = 624,296 : x
  2. Step 2: Convert to fraction form
    301,714/624,296 = 624,296/x
  3. Step 3: Cross multiply
    301,714x = 624,296 × 624,296
  4. Step 4: Simplify right side
    301,714x = 389,745,495,616
  5. Step 5: Solve for x
    x = 389,745,495,616/301,714
  6. Step 6: Final answer
    x = 1,291,771.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.