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Finding the Third Proportional to 770,530.50 and 1,227,145.50

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Solution

The third proportional to 770,530.50 and 1,227,145.50 is: 1,954,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,530.50 : 1,227,145.50 = 1,227,145.50 : x
  2. Step 2: Convert to fraction form
    770,530.50/1,227,145.50 = 1,227,145.50/x
  3. Step 3: Cross multiply
    770,530.50x = 1,227,145.50 × 1,227,145.50
  4. Step 4: Simplify right side
    770,530.50x = 1,505,886,078,170.25
  5. Step 5: Solve for x
    x = 1,505,886,078,170.25/770,530.50
  6. Step 6: Final answer
    x = 1,954,349.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.