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Finding the Third Proportional to 739,912.50 and 1,109,967.75

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Solution

The third proportional to 739,912.50 and 1,109,967.75 is: 1,665,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,912.50 : 1,109,967.75 = 1,109,967.75 : x
  2. Step 2: Convert to fraction form
    739,912.50/1,109,967.75 = 1,109,967.75/x
  3. Step 3: Cross multiply
    739,912.50x = 1,109,967.75 × 1,109,967.75
  4. Step 4: Simplify right side
    739,912.50x = 1,232,028,406,040.06
  5. Step 5: Solve for x
    x = 1,232,028,406,040.06/739,912.50
  6. Step 6: Final answer
    x = 1,665,100.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.