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Finding the Third Proportional to 599.43 and 1,280.02

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Solution

The third proportional to 599.43 and 1,280.02 is: 2,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.43 : 1,280.02 = 1,280.02 : x
  2. Step 2: Convert to fraction form
    599.43/1,280.02 = 1,280.02/x
  3. Step 3: Cross multiply
    599.43x = 1,280.02 × 1,280.02
  4. Step 4: Simplify right side
    599.43x = 1,638,455.00
  5. Step 5: Solve for x
    x = 1,638,455.00/599.43
  6. Step 6: Final answer
    x = 2,733.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.