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Finding the Third Proportional to 297,679 and 643,104

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Solution

The third proportional to 297,679 and 643,104 is: 1,389,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,679 : 643,104 = 643,104 : x
  2. Step 2: Convert to fraction form
    297,679/643,104 = 643,104/x
  3. Step 3: Cross multiply
    297,679x = 643,104 × 643,104
  4. Step 4: Simplify right side
    297,679x = 413,582,754,816
  5. Step 5: Solve for x
    x = 413,582,754,816/297,679
  6. Step 6: Final answer
    x = 1,389,358.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.