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Finding the Third Proportional to 311,024 and 466,455

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Solution

The third proportional to 311,024 and 466,455 is: 699,561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,024 : 466,455 = 466,455 : x
  2. Step 2: Convert to fraction form
    311,024/466,455 = 466,455/x
  3. Step 3: Cross multiply
    311,024x = 466,455 × 466,455
  4. Step 4: Simplify right side
    311,024x = 217,580,267,025
  5. Step 5: Solve for x
    x = 217,580,267,025/311,024
  6. Step 6: Final answer
    x = 699,561.02

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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.