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Finding the Third Proportional to 329,000,197 and 511,071,062

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Solution

The third proportional to 329,000,197 and 511,071,062 is: 793,901,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,000,197 : 511,071,062 = 511,071,062 : x
  2. Step 2: Convert to fraction form
    329,000,197/511,071,062 = 511,071,062/x
  3. Step 3: Cross multiply
    329,000,197x = 511,071,062 × 511,071,062
  4. Step 4: Simplify right side
    329,000,197x = 261,193,630,413,807,840
  5. Step 5: Solve for x
    x = 261,193,630,413,807,840/329,000,197
  6. Step 6: Final answer
    x = 793,901,136.82

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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.