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Finding the Third Proportional to 297,014 and 460,425

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Solution

The third proportional to 297,014 and 460,425 is: 713,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,014 : 460,425 = 460,425 : x
  2. Step 2: Convert to fraction form
    297,014/460,425 = 460,425/x
  3. Step 3: Cross multiply
    297,014x = 460,425 × 460,425
  4. Step 4: Simplify right side
    297,014x = 211,991,180,625
  5. Step 5: Solve for x
    x = 211,991,180,625/297,014
  6. Step 6: Final answer
    x = 713,741.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.