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Finding the Third Proportional to 589.46 and 777.41

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Solution

The third proportional to 589.46 and 777.41 is: 1,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.46 : 777.41 = 777.41 : x
  2. Step 2: Convert to fraction form
    589.46/777.41 = 777.41/x
  3. Step 3: Cross multiply
    589.46x = 777.41 × 777.41
  4. Step 4: Simplify right side
    589.46x = 604,366.55
  5. Step 5: Solve for x
    x = 604,366.55/589.46
  6. Step 6: Final answer
    x = 1,025.28

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.