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Finding the Third Proportional to 295,676 and 463,296

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Solution

The third proportional to 295,676 and 463,296 is: 725,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,676 : 463,296 = 463,296 : x
  2. Step 2: Convert to fraction form
    295,676/463,296 = 463,296/x
  3. Step 3: Cross multiply
    295,676x = 463,296 × 463,296
  4. Step 4: Simplify right side
    295,676x = 214,643,183,616
  5. Step 5: Solve for x
    x = 214,643,183,616/295,676
  6. Step 6: Final answer
    x = 725,940.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.