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Finding the Third Proportional to 211,472 and 455,956

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Solution

The third proportional to 211,472 and 455,956 is: 983,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,472 : 455,956 = 455,956 : x
  2. Step 2: Convert to fraction form
    211,472/455,956 = 455,956/x
  3. Step 3: Cross multiply
    211,472x = 455,956 × 455,956
  4. Step 4: Simplify right side
    211,472x = 207,895,873,936
  5. Step 5: Solve for x
    x = 207,895,873,936/211,472
  6. Step 6: Final answer
    x = 983,089.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.