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Finding the Third Proportional to 254,368.50 and 404,903

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Solution

The third proportional to 254,368.50 and 404,903 is: 644,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,368.50 : 404,903 = 404,903 : x
  2. Step 2: Convert to fraction form
    254,368.50/404,903 = 404,903/x
  3. Step 3: Cross multiply
    254,368.50x = 404,903 × 404,903
  4. Step 4: Simplify right side
    254,368.50x = 163,946,439,409
  5. Step 5: Solve for x
    x = 163,946,439,409/254,368.50
  6. Step 6: Final answer
    x = 644,523.36

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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.