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Finding the Third Proportional to 311,528.25 and 466,774.31

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Solution

The third proportional to 311,528.25 and 466,774.31 is: 699,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,528.25 : 466,774.31 = 466,774.31 : x
  2. Step 2: Convert to fraction form
    311,528.25/466,774.31 = 466,774.31/x
  3. Step 3: Cross multiply
    311,528.25x = 466,774.31 × 466,774.31
  4. Step 4: Simplify right side
    311,528.25x = 217,878,258,809.85
  5. Step 5: Solve for x
    x = 217,878,258,809.85/311,528.25
  6. Step 6: Final answer
    x = 699,385.24

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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.