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Finding the Third Proportional to 501,178.50 and 777,231.75

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Solution

The third proportional to 501,178.50 and 777,231.75 is: 1,205,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,178.50 : 777,231.75 = 777,231.75 : x
  2. Step 2: Convert to fraction form
    501,178.50/777,231.75 = 777,231.75/x
  3. Step 3: Cross multiply
    501,178.50x = 777,231.75 × 777,231.75
  4. Step 4: Simplify right side
    501,178.50x = 604,089,193,208.06
  5. Step 5: Solve for x
    x = 604,089,193,208.06/501,178.50
  6. Step 6: Final answer
    x = 1,205,337.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.