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Finding the Third Proportional to 214,328 and 452,956

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Solution

The third proportional to 214,328 and 452,956 is: 957,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,328 : 452,956 = 452,956 : x
  2. Step 2: Convert to fraction form
    214,328/452,956 = 452,956/x
  3. Step 3: Cross multiply
    214,328x = 452,956 × 452,956
  4. Step 4: Simplify right side
    214,328x = 205,169,137,936
  5. Step 5: Solve for x
    x = 205,169,137,936/214,328
  6. Step 6: Final answer
    x = 957,267.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.