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Finding the Third Proportional to 330,059.25 and 495,819

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Solution

The third proportional to 330,059.25 and 495,819 is: 744,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,059.25 : 495,819 = 495,819 : x
  2. Step 2: Convert to fraction form
    330,059.25/495,819 = 495,819/x
  3. Step 3: Cross multiply
    330,059.25x = 495,819 × 495,819
  4. Step 4: Simplify right side
    330,059.25x = 245,836,480,761
  5. Step 5: Solve for x
    x = 245,836,480,761/330,059.25
  6. Step 6: Final answer
    x = 744,825.30

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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.