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Finding the Third Proportional to 213,039 and 466,170

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Solution

The third proportional to 213,039 and 466,170 is: 1,020,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,039 : 466,170 = 466,170 : x
  2. Step 2: Convert to fraction form
    213,039/466,170 = 466,170/x
  3. Step 3: Cross multiply
    213,039x = 466,170 × 466,170
  4. Step 4: Simplify right side
    213,039x = 217,314,468,900
  5. Step 5: Solve for x
    x = 217,314,468,900/213,039
  6. Step 6: Final answer
    x = 1,020,068.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.