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Finding the Third Proportional to 311,238 and 480,666

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Solution

The third proportional to 311,238 and 480,666 is: 742,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,238 : 480,666 = 480,666 : x
  2. Step 2: Convert to fraction form
    311,238/480,666 = 480,666/x
  3. Step 3: Cross multiply
    311,238x = 480,666 × 480,666
  4. Step 4: Simplify right side
    311,238x = 231,039,803,556
  5. Step 5: Solve for x
    x = 231,039,803,556/311,238
  6. Step 6: Final answer
    x = 742,325.18

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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.