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Finding the Third Proportional to 234,600 and 457,464

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Solution

The third proportional to 234,600 and 457,464 is: 892,043.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,600 : 457,464 = 457,464 : x
  2. Step 2: Convert to fraction form
    234,600/457,464 = 457,464/x
  3. Step 3: Cross multiply
    234,600x = 457,464 × 457,464
  4. Step 4: Simplify right side
    234,600x = 209,273,311,296
  5. Step 5: Solve for x
    x = 209,273,311,296/234,600
  6. Step 6: Final answer
    x = 892,043.10

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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.