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Finding the Third Proportional to 174,969 and 471,333

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Solution

The third proportional to 174,969 and 471,333 is: 1,269,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,969 : 471,333 = 471,333 : x
  2. Step 2: Convert to fraction form
    174,969/471,333 = 471,333/x
  3. Step 3: Cross multiply
    174,969x = 471,333 × 471,333
  4. Step 4: Simplify right side
    174,969x = 222,154,796,889
  5. Step 5: Solve for x
    x = 222,154,796,889/174,969
  6. Step 6: Final answer
    x = 1,269,680.90

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.