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Finding the Third Proportional to 590,753.25 and 1,295,868.38

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Solution

The third proportional to 590,753.25 and 1,295,868.38 is: 2,842,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,753.25 : 1,295,868.38 = 1,295,868.38 : x
  2. Step 2: Convert to fraction form
    590,753.25/1,295,868.38 = 1,295,868.38/x
  3. Step 3: Cross multiply
    590,753.25x = 1,295,868.38 × 1,295,868.38
  4. Step 4: Simplify right side
    590,753.25x = 1,679,274,845,325.14
  5. Step 5: Solve for x
    x = 1,679,274,845,325.14/590,753.25
  6. Step 6: Final answer
    x = 2,842,599.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.