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Finding the Third Proportional to 426,191 and 647,063

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Solution

The third proportional to 426,191 and 647,063 is: 982,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,191 : 647,063 = 647,063 : x
  2. Step 2: Convert to fraction form
    426,191/647,063 = 647,063/x
  3. Step 3: Cross multiply
    426,191x = 647,063 × 647,063
  4. Step 4: Simplify right side
    426,191x = 418,690,525,969
  5. Step 5: Solve for x
    x = 418,690,525,969/426,191
  6. Step 6: Final answer
    x = 982,401.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.