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Finding the Third Proportional to 214,176 and 452,464

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Solution

The third proportional to 214,176 and 452,464 is: 955,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,176 : 452,464 = 452,464 : x
  2. Step 2: Convert to fraction form
    214,176/452,464 = 452,464/x
  3. Step 3: Cross multiply
    214,176x = 452,464 × 452,464
  4. Step 4: Simplify right side
    214,176x = 204,723,671,296
  5. Step 5: Solve for x
    x = 204,723,671,296/214,176
  6. Step 6: Final answer
    x = 955,866.54

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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.