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Finding the Third Proportional to 214,734 and 457,188

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Solution

The third proportional to 214,734 and 457,188 is: 973,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,734 : 457,188 = 457,188 : x
  2. Step 2: Convert to fraction form
    214,734/457,188 = 457,188/x
  3. Step 3: Cross multiply
    214,734x = 457,188 × 457,188
  4. Step 4: Simplify right side
    214,734x = 209,020,867,344
  5. Step 5: Solve for x
    x = 209,020,867,344/214,734
  6. Step 6: Final answer
    x = 973,394.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.