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Finding the Third Proportional to 647,393.25 and 980,083.50

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Solution

The third proportional to 647,393.25 and 980,083.50 is: 1,483,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,393.25 : 980,083.50 = 980,083.50 : x
  2. Step 2: Convert to fraction form
    647,393.25/980,083.50 = 980,083.50/x
  3. Step 3: Cross multiply
    647,393.25x = 980,083.50 × 980,083.50
  4. Step 4: Simplify right side
    647,393.25x = 960,563,666,972.25
  5. Step 5: Solve for x
    x = 960,563,666,972.25/647,393.25
  6. Step 6: Final answer
    x = 1,483,740.63

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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.