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Finding the Third Proportional to 297,799 and 553,679

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Solution

The third proportional to 297,799 and 553,679 is: 1,029,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,799 : 553,679 = 553,679 : x
  2. Step 2: Convert to fraction form
    297,799/553,679 = 553,679/x
  3. Step 3: Cross multiply
    297,799x = 553,679 × 553,679
  4. Step 4: Simplify right side
    297,799x = 306,560,435,041
  5. Step 5: Solve for x
    x = 306,560,435,041/297,799
  6. Step 6: Final answer
    x = 1,029,420.63

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.