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Finding the Third Proportional to 647,552.25 and 980,359.88

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Solution

The third proportional to 647,552.25 and 980,359.88 is: 1,484,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,552.25 : 980,359.88 = 980,359.88 : x
  2. Step 2: Convert to fraction form
    647,552.25/980,359.88 = 980,359.88/x
  3. Step 3: Cross multiply
    647,552.25x = 980,359.88 × 980,359.88
  4. Step 4: Simplify right side
    647,552.25x = 961,105,484,510.02
  5. Step 5: Solve for x
    x = 961,105,484,510.02/647,552.25
  6. Step 6: Final answer
    x = 1,484,213.03

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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.