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Finding the Third Proportional to 511,758,932 and 729,359,726

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Solution

The third proportional to 511,758,932 and 729,359,726 is: 1,039,484,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,758,932 : 729,359,726 = 729,359,726 : x
  2. Step 2: Convert to fraction form
    511,758,932/729,359,726 = 729,359,726/x
  3. Step 3: Cross multiply
    511,758,932x = 729,359,726 × 729,359,726
  4. Step 4: Simplify right side
    511,758,932x = 531,965,609,910,795,072
  5. Step 5: Solve for x
    x = 531,965,609,910,795,072/511,758,932
  6. Step 6: Final answer
    x = 1,039,484,758.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.