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Finding the Third Proportional to 330,060 and 495,954

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Solution

The third proportional to 330,060 and 495,954 is: 745,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,060 : 495,954 = 495,954 : x
  2. Step 2: Convert to fraction form
    330,060/495,954 = 495,954/x
  3. Step 3: Cross multiply
    330,060x = 495,954 × 495,954
  4. Step 4: Simplify right side
    330,060x = 245,970,370,116
  5. Step 5: Solve for x
    x = 245,970,370,116/330,060
  6. Step 6: Final answer
    x = 745,229.26

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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.