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Finding the Third Proportional to 274,047 and 430,003.50

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Solution

The third proportional to 274,047 and 430,003.50 is: 674,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,047 : 430,003.50 = 430,003.50 : x
  2. Step 2: Convert to fraction form
    274,047/430,003.50 = 430,003.50/x
  3. Step 3: Cross multiply
    274,047x = 430,003.50 × 430,003.50
  4. Step 4: Simplify right side
    274,047x = 184,903,010,012.25
  5. Step 5: Solve for x
    x = 184,903,010,012.25/274,047
  6. Step 6: Final answer
    x = 674,712.77

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