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Finding the Third Proportional to 529.98 and 1,074.99

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Solution

The third proportional to 529.98 and 1,074.99 is: 2,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.98 : 1,074.99 = 1,074.99 : x
  2. Step 2: Convert to fraction form
    529.98/1,074.99 = 1,074.99/x
  3. Step 3: Cross multiply
    529.98x = 1,074.99 × 1,074.99
  4. Step 4: Simplify right side
    529.98x = 1,155,604.00
  5. Step 5: Solve for x
    x = 1,155,604.00/529.98
  6. Step 6: Final answer
    x = 2,180.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.