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Finding the Third Proportional to 427,296 and 670,276

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Solution

The third proportional to 427,296 and 670,276 is: 1,051,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,296 : 670,276 = 670,276 : x
  2. Step 2: Convert to fraction form
    427,296/670,276 = 670,276/x
  3. Step 3: Cross multiply
    427,296x = 670,276 × 670,276
  4. Step 4: Simplify right side
    427,296x = 449,269,916,176
  5. Step 5: Solve for x
    x = 449,269,916,176/427,296
  6. Step 6: Final answer
    x = 1,051,425.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.