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Finding the Third Proportional to 329,612.50 and 495,296

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Solution

The third proportional to 329,612.50 and 495,296 is: 744,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,612.50 : 495,296 = 495,296 : x
  2. Step 2: Convert to fraction form
    329,612.50/495,296 = 495,296/x
  3. Step 3: Cross multiply
    329,612.50x = 495,296 × 495,296
  4. Step 4: Simplify right side
    329,612.50x = 245,318,127,616
  5. Step 5: Solve for x
    x = 245,318,127,616/329,612.50
  6. Step 6: Final answer
    x = 744,262.21

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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.