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Finding the Third Proportional to 213,038 and 468,115

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Solution

The third proportional to 213,038 and 468,115 is: 1,028,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,038 : 468,115 = 468,115 : x
  2. Step 2: Convert to fraction form
    213,038/468,115 = 468,115/x
  3. Step 3: Cross multiply
    213,038x = 468,115 × 468,115
  4. Step 4: Simplify right side
    213,038x = 219,131,653,225
  5. Step 5: Solve for x
    x = 219,131,653,225/213,038
  6. Step 6: Final answer
    x = 1,028,603.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.