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Finding the Third Proportional to 325,348,586.50 and 495,646,215

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Solution

The third proportional to 325,348,586.50 and 495,646,215 is: 755,082,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,348,586.50 : 495,646,215 = 495,646,215 : x
  2. Step 2: Convert to fraction form
    325,348,586.50/495,646,215 = 495,646,215/x
  3. Step 3: Cross multiply
    325,348,586.50x = 495,646,215 × 495,646,215
  4. Step 4: Simplify right side
    325,348,586.50x = 245,665,170,443,826,240
  5. Step 5: Solve for x
    x = 245,665,170,443,826,240/325,348,586.50
  6. Step 6: Final answer
    x = 755,082,949.91

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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.