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Finding the Third Proportional to 213,410 and 466,180

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Solution

The third proportional to 213,410 and 466,180 is: 1,018,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,410 : 466,180 = 466,180 : x
  2. Step 2: Convert to fraction form
    213,410/466,180 = 466,180/x
  3. Step 3: Cross multiply
    213,410x = 466,180 × 466,180
  4. Step 4: Simplify right side
    213,410x = 217,323,792,400
  5. Step 5: Solve for x
    x = 217,323,792,400/213,410
  6. Step 6: Final answer
    x = 1,018,339.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.