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Finding the Third Proportional to 465,540,264 and 775,867,977

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Solution

The third proportional to 465,540,264 and 775,867,977 is: 1,293,059,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,540,264 : 775,867,977 = 775,867,977 : x
  2. Step 2: Convert to fraction form
    465,540,264/775,867,977 = 775,867,977/x
  3. Step 3: Cross multiply
    465,540,264x = 775,867,977 × 775,867,977
  4. Step 4: Simplify right side
    465,540,264x = 601,971,117,734,072,576
  5. Step 5: Solve for x
    x = 601,971,117,734,072,576/465,540,264
  6. Step 6: Final answer
    x = 1,293,059,192.26

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.