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Finding the Third Proportional to 280.41 and 614.67

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Solution

The third proportional to 280.41 and 614.67 is: 1,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.41 : 614.67 = 614.67 : x
  2. Step 2: Convert to fraction form
    280.41/614.67 = 614.67/x
  3. Step 3: Cross multiply
    280.41x = 614.67 × 614.67
  4. Step 4: Simplify right side
    280.41x = 377,821.51
  5. Step 5: Solve for x
    x = 377,821.51/280.41
  6. Step 6: Final answer
    x = 1,347.41

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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.