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Finding the Third Proportional to 304,372.50 and 408,307.50

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Solution

The third proportional to 304,372.50 and 408,307.50 is: 547,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,372.50 : 408,307.50 = 408,307.50 : x
  2. Step 2: Convert to fraction form
    304,372.50/408,307.50 = 408,307.50/x
  3. Step 3: Cross multiply
    304,372.50x = 408,307.50 × 408,307.50
  4. Step 4: Simplify right side
    304,372.50x = 166,715,014,556.25
  5. Step 5: Solve for x
    x = 166,715,014,556.25/304,372.50
  6. Step 6: Final answer
    x = 547,733.50

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.