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Finding the Third Proportional to 330,702 and 495,114

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Solution

The third proportional to 330,702 and 495,114 is: 741,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,702 : 495,114 = 495,114 : x
  2. Step 2: Convert to fraction form
    330,702/495,114 = 495,114/x
  3. Step 3: Cross multiply
    330,702x = 495,114 × 495,114
  4. Step 4: Simplify right side
    330,702x = 245,137,872,996
  5. Step 5: Solve for x
    x = 245,137,872,996/330,702
  6. Step 6: Final answer
    x = 741,265.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.