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Finding the Third Proportional to 301,263 and 399,814.50

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Solution

The third proportional to 301,263 and 399,814.50 is: 530,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,263 : 399,814.50 = 399,814.50 : x
  2. Step 2: Convert to fraction form
    301,263/399,814.50 = 399,814.50/x
  3. Step 3: Cross multiply
    301,263x = 399,814.50 × 399,814.50
  4. Step 4: Simplify right side
    301,263x = 159,851,634,410.25
  5. Step 5: Solve for x
    x = 159,851,634,410.25/301,263
  6. Step 6: Final answer
    x = 530,604.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.