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Finding the Third Proportional to 301,822.50 and 482,257.50

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Solution

The third proportional to 301,822.50 and 482,257.50 is: 770,559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,822.50 : 482,257.50 = 482,257.50 : x
  2. Step 2: Convert to fraction form
    301,822.50/482,257.50 = 482,257.50/x
  3. Step 3: Cross multiply
    301,822.50x = 482,257.50 × 482,257.50
  4. Step 4: Simplify right side
    301,822.50x = 232,572,296,306.25
  5. Step 5: Solve for x
    x = 232,572,296,306.25/301,822.50
  6. Step 6: Final answer
    x = 770,559.84

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.