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Finding the Third Proportional to 264,711 and 399,534.75

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Solution

The third proportional to 264,711 and 399,534.75 is: 603,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,711 : 399,534.75 = 399,534.75 : x
  2. Step 2: Convert to fraction form
    264,711/399,534.75 = 399,534.75/x
  3. Step 3: Cross multiply
    264,711x = 399,534.75 × 399,534.75
  4. Step 4: Simplify right side
    264,711x = 159,628,016,457.56
  5. Step 5: Solve for x
    x = 159,628,016,457.56/264,711
  6. Step 6: Final answer
    x = 603,027.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.