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Finding the Third Proportional to 329,000,211 and 511,071,084

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Solution

The third proportional to 329,000,211 and 511,071,084 is: 793,901,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,000,211 : 511,071,084 = 511,071,084 : x
  2. Step 2: Convert to fraction form
    329,000,211/511,071,084 = 511,071,084/x
  3. Step 3: Cross multiply
    329,000,211x = 511,071,084 × 511,071,084
  4. Step 4: Simplify right side
    329,000,211x = 261,193,652,900,935,040
  5. Step 5: Solve for x
    x = 261,193,652,900,935,040/329,000,211
  6. Step 6: Final answer
    x = 793,901,171.39

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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.