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Finding the Third Proportional to 213,122 and 466,852

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Solution

The third proportional to 213,122 and 466,852 is: 1,022,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,122 : 466,852 = 466,852 : x
  2. Step 2: Convert to fraction form
    213,122/466,852 = 466,852/x
  3. Step 3: Cross multiply
    213,122x = 466,852 × 466,852
  4. Step 4: Simplify right side
    213,122x = 217,950,789,904
  5. Step 5: Solve for x
    x = 217,950,789,904/213,122
  6. Step 6: Final answer
    x = 1,022,657.40

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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.