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Finding the Third Proportional to 999.84 and 1,422.56

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Solution

The third proportional to 999.84 and 1,422.56 is: 2,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.84 : 1,422.56 = 1,422.56 : x
  2. Step 2: Convert to fraction form
    999.84/1,422.56 = 1,422.56/x
  3. Step 3: Cross multiply
    999.84x = 1,422.56 × 1,422.56
  4. Step 4: Simplify right side
    999.84x = 2,023,684.07
  5. Step 5: Solve for x
    x = 2,023,684.07/999.84
  6. Step 6: Final answer
    x = 2,024.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.