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Finding the Third Proportional to 264,010.50 and 378,328.50

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Solution

The third proportional to 264,010.50 and 378,328.50 is: 542,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,010.50 : 378,328.50 = 378,328.50 : x
  2. Step 2: Convert to fraction form
    264,010.50/378,328.50 = 378,328.50/x
  3. Step 3: Cross multiply
    264,010.50x = 378,328.50 × 378,328.50
  4. Step 4: Simplify right side
    264,010.50x = 143,132,453,912.25
  5. Step 5: Solve for x
    x = 143,132,453,912.25/264,010.50
  6. Step 6: Final answer
    x = 542,146.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.