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Finding the Third Proportional to 298,082 and 450,971

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Solution

The third proportional to 298,082 and 450,971 is: 682,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,082 : 450,971 = 450,971 : x
  2. Step 2: Convert to fraction form
    298,082/450,971 = 450,971/x
  3. Step 3: Cross multiply
    298,082x = 450,971 × 450,971
  4. Step 4: Simplify right side
    298,082x = 203,374,842,841
  5. Step 5: Solve for x
    x = 203,374,842,841/298,082
  6. Step 6: Final answer
    x = 682,278.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.