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Finding the Third Proportional to 325,348,589 and 495,646,218

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Solution

The third proportional to 325,348,589 and 495,646,218 is: 755,082,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,348,589 : 495,646,218 = 495,646,218 : x
  2. Step 2: Convert to fraction form
    325,348,589/495,646,218 = 495,646,218/x
  3. Step 3: Cross multiply
    325,348,589x = 495,646,218 × 495,646,218
  4. Step 4: Simplify right side
    325,348,589x = 245,665,173,417,703,520
  5. Step 5: Solve for x
    x = 245,665,173,417,703,520/325,348,589
  6. Step 6: Final answer
    x = 755,082,953.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.