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Finding the Third Proportional to 234,544 and 457,423

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Solution

The third proportional to 234,544 and 457,423 is: 892,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,544 : 457,423 = 457,423 : x
  2. Step 2: Convert to fraction form
    234,544/457,423 = 457,423/x
  3. Step 3: Cross multiply
    234,544x = 457,423 × 457,423
  4. Step 4: Simplify right side
    234,544x = 209,235,800,929
  5. Step 5: Solve for x
    x = 209,235,800,929/234,544
  6. Step 6: Final answer
    x = 892,096.16

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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.