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Finding the Third Proportional to 214,641 and 466,182

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Solution

The third proportional to 214,641 and 466,182 is: 1,012,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,641 : 466,182 = 466,182 : x
  2. Step 2: Convert to fraction form
    214,641/466,182 = 466,182/x
  3. Step 3: Cross multiply
    214,641x = 466,182 × 466,182
  4. Step 4: Simplify right side
    214,641x = 217,325,657,124
  5. Step 5: Solve for x
    x = 217,325,657,124/214,641
  6. Step 6: Final answer
    x = 1,012,507.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.