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Finding the Third Proportional to 589.50 and 1,274.06

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Solution

The third proportional to 589.50 and 1,274.06 is: 2,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.50 : 1,274.06 = 1,274.06 : x
  2. Step 2: Convert to fraction form
    589.50/1,274.06 = 1,274.06/x
  3. Step 3: Cross multiply
    589.50x = 1,274.06 × 1,274.06
  4. Step 4: Simplify right side
    589.50x = 1,623,235.25
  5. Step 5: Solve for x
    x = 1,623,235.25/589.50
  6. Step 6: Final answer
    x = 2,753.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.