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Finding the Third Proportional to 211,252 and 459,080

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Solution

The third proportional to 211,252 and 459,080 is: 997,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,252 : 459,080 = 459,080 : x
  2. Step 2: Convert to fraction form
    211,252/459,080 = 459,080/x
  3. Step 3: Cross multiply
    211,252x = 459,080 × 459,080
  4. Step 4: Simplify right side
    211,252x = 210,754,446,400
  5. Step 5: Solve for x
    x = 210,754,446,400/211,252
  6. Step 6: Final answer
    x = 997,644.74

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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.