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Finding the Third Proportional to 275,232 and 423,174

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Solution

The third proportional to 275,232 and 423,174 is: 650,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,232 : 423,174 = 423,174 : x
  2. Step 2: Convert to fraction form
    275,232/423,174 = 423,174/x
  3. Step 3: Cross multiply
    275,232x = 423,174 × 423,174
  4. Step 4: Simplify right side
    275,232x = 179,076,234,276
  5. Step 5: Solve for x
    x = 179,076,234,276/275,232
  6. Step 6: Final answer
    x = 650,637.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.