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Finding the Third Proportional to 647,393.25 and 980,085

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Solution

The third proportional to 647,393.25 and 980,085 is: 1,483,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,393.25 : 980,085 = 980,085 : x
  2. Step 2: Convert to fraction form
    647,393.25/980,085 = 980,085/x
  3. Step 3: Cross multiply
    647,393.25x = 980,085 × 980,085
  4. Step 4: Simplify right side
    647,393.25x = 960,566,607,225
  5. Step 5: Solve for x
    x = 960,566,607,225/647,393.25
  6. Step 6: Final answer
    x = 1,483,745.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.