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Finding the Third Proportional to 448,982 and 697,082

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Solution

The third proportional to 448,982 and 697,082 is: 1,082,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,982 : 697,082 = 697,082 : x
  2. Step 2: Convert to fraction form
    448,982/697,082 = 697,082/x
  3. Step 3: Cross multiply
    448,982x = 697,082 × 697,082
  4. Step 4: Simplify right side
    448,982x = 485,923,314,724
  5. Step 5: Solve for x
    x = 485,923,314,724/448,982
  6. Step 6: Final answer
    x = 1,082,277.94

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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.