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Finding the Third Proportional to 471,241 and 666,265

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Solution

The third proportional to 471,241 and 666,265 is: 942,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,241 : 666,265 = 666,265 : x
  2. Step 2: Convert to fraction form
    471,241/666,265 = 666,265/x
  3. Step 3: Cross multiply
    471,241x = 666,265 × 666,265
  4. Step 4: Simplify right side
    471,241x = 443,909,050,225
  5. Step 5: Solve for x
    x = 443,909,050,225/471,241
  6. Step 6: Final answer
    x = 942,000.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.