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Finding the Third Proportional to 296,252.25 and 446,992.50

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Solution

The third proportional to 296,252.25 and 446,992.50 is: 674,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,252.25 : 446,992.50 = 446,992.50 : x
  2. Step 2: Convert to fraction form
    296,252.25/446,992.50 = 446,992.50/x
  3. Step 3: Cross multiply
    296,252.25x = 446,992.50 × 446,992.50
  4. Step 4: Simplify right side
    296,252.25x = 199,802,295,056.25
  5. Step 5: Solve for x
    x = 199,802,295,056.25/296,252.25
  6. Step 6: Final answer
    x = 674,433.00

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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.