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Finding the Third Proportional to 214,496 and 461,878

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Solution

The third proportional to 214,496 and 461,878 is: 994,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,496 : 461,878 = 461,878 : x
  2. Step 2: Convert to fraction form
    214,496/461,878 = 461,878/x
  3. Step 3: Cross multiply
    214,496x = 461,878 × 461,878
  4. Step 4: Simplify right side
    214,496x = 213,331,286,884
  5. Step 5: Solve for x
    x = 213,331,286,884/214,496
  6. Step 6: Final answer
    x = 994,570.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.