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Finding the Third Proportional to 311,412 and 443,784

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Solution

The third proportional to 311,412 and 443,784 is: 632,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,412 : 443,784 = 443,784 : x
  2. Step 2: Convert to fraction form
    311,412/443,784 = 443,784/x
  3. Step 3: Cross multiply
    311,412x = 443,784 × 443,784
  4. Step 4: Simplify right side
    311,412x = 196,944,238,656
  5. Step 5: Solve for x
    x = 196,944,238,656/311,412
  6. Step 6: Final answer
    x = 632,423.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.