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Finding the Third Proportional to 311,166 and 480,570

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Solution

The third proportional to 311,166 and 480,570 is: 742,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,166 : 480,570 = 480,570 : x
  2. Step 2: Convert to fraction form
    311,166/480,570 = 480,570/x
  3. Step 3: Cross multiply
    311,166x = 480,570 × 480,570
  4. Step 4: Simplify right side
    311,166x = 230,947,524,900
  5. Step 5: Solve for x
    x = 230,947,524,900/311,166
  6. Step 6: Final answer
    x = 742,200.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.