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Finding the Third Proportional to 311,556 and 466,808

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Solution

The third proportional to 311,556 and 466,808 is: 699,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,556 : 466,808 = 466,808 : x
  2. Step 2: Convert to fraction form
    311,556/466,808 = 466,808/x
  3. Step 3: Cross multiply
    311,556x = 466,808 × 466,808
  4. Step 4: Simplify right side
    311,556x = 217,909,708,864
  5. Step 5: Solve for x
    x = 217,909,708,864/311,556
  6. Step 6: Final answer
    x = 699,423.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.