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Finding the Third Proportional to 311,572 and 466,842

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Solution

The third proportional to 311,572 and 466,842 is: 699,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,572 : 466,842 = 466,842 : x
  2. Step 2: Convert to fraction form
    311,572/466,842 = 466,842/x
  3. Step 3: Cross multiply
    311,572x = 466,842 × 466,842
  4. Step 4: Simplify right side
    311,572x = 217,941,452,964
  5. Step 5: Solve for x
    x = 217,941,452,964/311,572
  6. Step 6: Final answer
    x = 699,489.85

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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.