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Finding the Third Proportional to 589.46 and 1,215.95

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Solution

The third proportional to 589.46 and 1,215.95 is: 2,508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.46 : 1,215.95 = 1,215.95 : x
  2. Step 2: Convert to fraction form
    589.46/1,215.95 = 1,215.95/x
  3. Step 3: Cross multiply
    589.46x = 1,215.95 × 1,215.95
  4. Step 4: Simplify right side
    589.46x = 1,478,532.50
  5. Step 5: Solve for x
    x = 1,478,532.50/589.46
  6. Step 6: Final answer
    x = 2,508.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.