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Finding the Third Proportional to 274,804.50 and 437,141

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Solution

The third proportional to 274,804.50 and 437,141 is: 695,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,804.50 : 437,141 = 437,141 : x
  2. Step 2: Convert to fraction form
    274,804.50/437,141 = 437,141/x
  3. Step 3: Cross multiply
    274,804.50x = 437,141 × 437,141
  4. Step 4: Simplify right side
    274,804.50x = 191,092,253,881
  5. Step 5: Solve for x
    x = 191,092,253,881/274,804.50
  6. Step 6: Final answer
    x = 695,375.27

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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.