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Finding the Third Proportional to 474,198 and 727,086

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Solution

The third proportional to 474,198 and 727,086 is: 1,114,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,198 : 727,086 = 727,086 : x
  2. Step 2: Convert to fraction form
    474,198/727,086 = 727,086/x
  3. Step 3: Cross multiply
    474,198x = 727,086 × 727,086
  4. Step 4: Simplify right side
    474,198x = 528,654,051,396
  5. Step 5: Solve for x
    x = 528,654,051,396/474,198
  6. Step 6: Final answer
    x = 1,114,838.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.