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Finding the Third Proportional to 329,653.50 and 495,358.50

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Solution

The third proportional to 329,653.50 and 495,358.50 is: 744,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,653.50 : 495,358.50 = 495,358.50 : x
  2. Step 2: Convert to fraction form
    329,653.50/495,358.50 = 495,358.50/x
  3. Step 3: Cross multiply
    329,653.50x = 495,358.50 × 495,358.50
  4. Step 4: Simplify right side
    329,653.50x = 245,380,043,522.25
  5. Step 5: Solve for x
    x = 245,380,043,522.25/329,653.50
  6. Step 6: Final answer
    x = 744,357.46

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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.