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Finding the Third Proportional to 329,000,220 and 511,071,096

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Solution

The third proportional to 329,000,220 and 511,071,096 is: 793,901,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,000,220 : 511,071,096 = 511,071,096 : x
  2. Step 2: Convert to fraction form
    329,000,220/511,071,096 = 511,071,096/x
  3. Step 3: Cross multiply
    329,000,220x = 511,071,096 × 511,071,096
  4. Step 4: Simplify right side
    329,000,220x = 261,193,665,166,641,216
  5. Step 5: Solve for x
    x = 261,193,665,166,641,216/329,000,220
  6. Step 6: Final answer
    x = 793,901,186.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.