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Finding the Third Proportional to 174,953 and 471,292

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Solution

The third proportional to 174,953 and 471,292 is: 1,269,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,953 : 471,292 = 471,292 : x
  2. Step 2: Convert to fraction form
    174,953/471,292 = 471,292/x
  3. Step 3: Cross multiply
    174,953x = 471,292 × 471,292
  4. Step 4: Simplify right side
    174,953x = 222,116,149,264
  5. Step 5: Solve for x
    x = 222,116,149,264/174,953
  6. Step 6: Final answer
    x = 1,269,576.11

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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.