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Finding the Third Proportional to 234,546 and 457,427

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Solution

The third proportional to 234,546 and 457,427 is: 892,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,546 : 457,427 = 457,427 : x
  2. Step 2: Convert to fraction form
    234,546/457,427 = 457,427/x
  3. Step 3: Cross multiply
    234,546x = 457,427 × 457,427
  4. Step 4: Simplify right side
    234,546x = 209,239,460,329
  5. Step 5: Solve for x
    x = 209,239,460,329/234,546
  6. Step 6: Final answer
    x = 892,104.15

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.