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Finding the Third Proportional to 324,769.50 and 510,178.50

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Solution

The third proportional to 324,769.50 and 510,178.50 is: 801,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,769.50 : 510,178.50 = 510,178.50 : x
  2. Step 2: Convert to fraction form
    324,769.50/510,178.50 = 510,178.50/x
  3. Step 3: Cross multiply
    324,769.50x = 510,178.50 × 510,178.50
  4. Step 4: Simplify right side
    324,769.50x = 260,282,101,862.25
  5. Step 5: Solve for x
    x = 260,282,101,862.25/324,769.50
  6. Step 6: Final answer
    x = 801,436.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.