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Finding the Third Proportional to 344,029.50 and 531,383.50

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Solution

The third proportional to 344,029.50 and 531,383.50 is: 820,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,029.50 : 531,383.50 = 531,383.50 : x
  2. Step 2: Convert to fraction form
    344,029.50/531,383.50 = 531,383.50/x
  3. Step 3: Cross multiply
    344,029.50x = 531,383.50 × 531,383.50
  4. Step 4: Simplify right side
    344,029.50x = 282,368,424,072.25
  5. Step 5: Solve for x
    x = 282,368,424,072.25/344,029.50
  6. Step 6: Final answer
    x = 820,768.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.