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Finding the Third Proportional to 274,050 and 430,008

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Solution

The third proportional to 274,050 and 430,008 is: 674,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,050 : 430,008 = 430,008 : x
  2. Step 2: Convert to fraction form
    274,050/430,008 = 430,008/x
  3. Step 3: Cross multiply
    274,050x = 430,008 × 430,008
  4. Step 4: Simplify right side
    274,050x = 184,906,880,064
  5. Step 5: Solve for x
    x = 184,906,880,064/274,050
  6. Step 6: Final answer
    x = 674,719.50

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Why These Related Problems?

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