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Finding the Third Proportional to 298,971 and 463,401

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Solution

The third proportional to 298,971 and 463,401 is: 718,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971 : 463,401 = 463,401 : x
  2. Step 2: Convert to fraction form
    298,971/463,401 = 463,401/x
  3. Step 3: Cross multiply
    298,971x = 463,401 × 463,401
  4. Step 4: Simplify right side
    298,971x = 214,740,486,801
  5. Step 5: Solve for x
    x = 214,740,486,801/298,971
  6. Step 6: Final answer
    x = 718,265.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.