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Finding the Third Proportional to 274,804 and 437,140

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Solution

The third proportional to 274,804 and 437,140 is: 695,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,804 : 437,140 = 437,140 : x
  2. Step 2: Convert to fraction form
    274,804/437,140 = 437,140/x
  3. Step 3: Cross multiply
    274,804x = 437,140 × 437,140
  4. Step 4: Simplify right side
    274,804x = 191,091,379,600
  5. Step 5: Solve for x
    x = 191,091,379,600/274,804
  6. Step 6: Final answer
    x = 695,373.36

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.