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Finding the Third Proportional to 301,446 and 479,845.50

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Solution

The third proportional to 301,446 and 479,845.50 is: 763,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,446 : 479,845.50 = 479,845.50 : x
  2. Step 2: Convert to fraction form
    301,446/479,845.50 = 479,845.50/x
  3. Step 3: Cross multiply
    301,446x = 479,845.50 × 479,845.50
  4. Step 4: Simplify right side
    301,446x = 230,251,703,870.25
  5. Step 5: Solve for x
    x = 230,251,703,870.25/301,446
  6. Step 6: Final answer
    x = 763,824.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.