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Finding the Third Proportional to 770,548.50 and 1,227,165.75

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Solution

The third proportional to 770,548.50 and 1,227,165.75 is: 1,954,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,548.50 : 1,227,165.75 = 1,227,165.75 : x
  2. Step 2: Convert to fraction form
    770,548.50/1,227,165.75 = 1,227,165.75/x
  3. Step 3: Cross multiply
    770,548.50x = 1,227,165.75 × 1,227,165.75
  4. Step 4: Simplify right side
    770,548.50x = 1,505,935,777,973.06
  5. Step 5: Solve for x
    x = 1,505,935,777,973.06/770,548.50
  6. Step 6: Final answer
    x = 1,954,368.58

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Why These Related Problems?

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