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Finding the Third Proportional to 508,176 and 1,003,500

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Solution

The third proportional to 508,176 and 1,003,500 is: 1,981,621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,176 : 1,003,500 = 1,003,500 : x
  2. Step 2: Convert to fraction form
    508,176/1,003,500 = 1,003,500/x
  3. Step 3: Cross multiply
    508,176x = 1,003,500 × 1,003,500
  4. Step 4: Simplify right side
    508,176x = 1,007,012,250,000
  5. Step 5: Solve for x
    x = 1,007,012,250,000/508,176
  6. Step 6: Final answer
    x = 1,981,621.03

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.