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Finding the Third Proportional to 599 and 1,312.25

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Solution

The third proportional to 599 and 1,312.25 is: 2,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    599 : 1,312.25 = 1,312.25 : x
  2. Step 2: Convert to fraction form
    599/1,312.25 = 1,312.25/x
  3. Step 3: Cross multiply
    599x = 1,312.25 × 1,312.25
  4. Step 4: Simplify right side
    599x = 1,722,000.06
  5. Step 5: Solve for x
    x = 1,722,000.06/599
  6. Step 6: Final answer
    x = 2,874.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.