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Finding the Third Proportional to 311,026 and 466,458

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Solution

The third proportional to 311,026 and 466,458 is: 699,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,026 : 466,458 = 466,458 : x
  2. Step 2: Convert to fraction form
    311,026/466,458 = 466,458/x
  3. Step 3: Cross multiply
    311,026x = 466,458 × 466,458
  4. Step 4: Simplify right side
    311,026x = 217,583,065,764
  5. Step 5: Solve for x
    x = 217,583,065,764/311,026
  6. Step 6: Final answer
    x = 699,565.52

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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.