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Finding the Third Proportional to 311,036 and 466,470

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Solution

The third proportional to 311,036 and 466,470 is: 699,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,036 : 466,470 = 466,470 : x
  2. Step 2: Convert to fraction form
    311,036/466,470 = 466,470/x
  3. Step 3: Cross multiply
    311,036x = 466,470 × 466,470
  4. Step 4: Simplify right side
    311,036x = 217,594,260,900
  5. Step 5: Solve for x
    x = 217,594,260,900/311,036
  6. Step 6: Final answer
    x = 699,579.02

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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.