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Finding the Third Proportional to 655,053 and 994,396.50

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Solution

The third proportional to 655,053 and 994,396.50 is: 1,509,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,053 : 994,396.50 = 994,396.50 : x
  2. Step 2: Convert to fraction form
    655,053/994,396.50 = 994,396.50/x
  3. Step 3: Cross multiply
    655,053x = 994,396.50 × 994,396.50
  4. Step 4: Simplify right side
    655,053x = 988,824,399,212.25
  5. Step 5: Solve for x
    x = 988,824,399,212.25/655,053
  6. Step 6: Final answer
    x = 1,509,533.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.