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Finding the Third Proportional to 254,369.50 and 404,903.50

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Solution

The third proportional to 254,369.50 and 404,903.50 is: 644,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,369.50 : 404,903.50 = 404,903.50 : x
  2. Step 2: Convert to fraction form
    254,369.50/404,903.50 = 404,903.50/x
  3. Step 3: Cross multiply
    254,369.50x = 404,903.50 × 404,903.50
  4. Step 4: Simplify right side
    254,369.50x = 163,946,844,312.25
  5. Step 5: Solve for x
    x = 163,946,844,312.25/254,369.50
  6. Step 6: Final answer
    x = 644,522.41

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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.