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Finding the Third Proportional to 260,484.50 and 393,499.50

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Solution

The third proportional to 260,484.50 and 393,499.50 is: 594,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,484.50 : 393,499.50 = 393,499.50 : x
  2. Step 2: Convert to fraction form
    260,484.50/393,499.50 = 393,499.50/x
  3. Step 3: Cross multiply
    260,484.50x = 393,499.50 × 393,499.50
  4. Step 4: Simplify right side
    260,484.50x = 154,841,856,500.25
  5. Step 5: Solve for x
    x = 154,841,856,500.25/260,484.50
  6. Step 6: Final answer
    x = 594,437.89

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