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Finding the Third Proportional to 599,252 and 1,283,796.50

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Solution

The third proportional to 599,252 and 1,283,796.50 is: 2,750,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,252 : 1,283,796.50 = 1,283,796.50 : x
  2. Step 2: Convert to fraction form
    599,252/1,283,796.50 = 1,283,796.50/x
  3. Step 3: Cross multiply
    599,252x = 1,283,796.50 × 1,283,796.50
  4. Step 4: Simplify right side
    599,252x = 1,648,133,453,412.25
  5. Step 5: Solve for x
    x = 1,648,133,453,412.25/599,252
  6. Step 6: Final answer
    x = 2,750,317.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.