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Finding the Third Proportional to 647,355.75 and 980,029.69

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Solution

The third proportional to 647,355.75 and 980,029.69 is: 1,483,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,355.75 : 980,029.69 = 980,029.69 : x
  2. Step 2: Convert to fraction form
    647,355.75/980,029.69 = 980,029.69/x
  3. Step 3: Cross multiply
    647,355.75x = 980,029.69 × 980,029.69
  4. Step 4: Simplify right side
    647,355.75x = 960,458,188,381.35
  5. Step 5: Solve for x
    x = 960,458,188,381.35/647,355.75
  6. Step 6: Final answer
    x = 1,483,663.64

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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.