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Finding the Third Proportional to 329,803.50 and 495,525

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Solution

The third proportional to 329,803.50 and 495,525 is: 744,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,803.50 : 495,525 = 495,525 : x
  2. Step 2: Convert to fraction form
    329,803.50/495,525 = 495,525/x
  3. Step 3: Cross multiply
    329,803.50x = 495,525 × 495,525
  4. Step 4: Simplify right side
    329,803.50x = 245,545,025,625
  5. Step 5: Solve for x
    x = 245,545,025,625/329,803.50
  6. Step 6: Final answer
    x = 744,519.16

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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.