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Finding the Third Proportional to 203,068 and 468,022

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Solution

The third proportional to 203,068 and 468,022 is: 1,078,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,068 : 468,022 = 468,022 : x
  2. Step 2: Convert to fraction form
    203,068/468,022 = 468,022/x
  3. Step 3: Cross multiply
    203,068x = 468,022 × 468,022
  4. Step 4: Simplify right side
    203,068x = 219,044,592,484
  5. Step 5: Solve for x
    x = 219,044,592,484/203,068
  6. Step 6: Final answer
    x = 1,078,676.07

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.