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Finding the Third Proportional to 254,371.50 and 404,906.50

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Solution

The third proportional to 254,371.50 and 404,906.50 is: 644,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,371.50 : 404,906.50 = 404,906.50 : x
  2. Step 2: Convert to fraction form
    254,371.50/404,906.50 = 404,906.50/x
  3. Step 3: Cross multiply
    254,371.50x = 404,906.50 × 404,906.50
  4. Step 4: Simplify right side
    254,371.50x = 163,949,273,742.25
  5. Step 5: Solve for x
    x = 163,949,273,742.25/254,371.50
  6. Step 6: Final answer
    x = 644,526.90

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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.