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Finding the Third Proportional to 234,568 and 492,176

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Solution

The third proportional to 234,568 and 492,176 is: 1,032,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,568 : 492,176 = 492,176 : x
  2. Step 2: Convert to fraction form
    234,568/492,176 = 492,176/x
  3. Step 3: Cross multiply
    234,568x = 492,176 × 492,176
  4. Step 4: Simplify right side
    234,568x = 242,237,214,976
  5. Step 5: Solve for x
    x = 242,237,214,976/234,568
  6. Step 6: Final answer
    x = 1,032,695.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.