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Finding the Third Proportional to 435,283.50 and 665,805

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Solution

The third proportional to 435,283.50 and 665,805 is: 1,018,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,283.50 : 665,805 = 665,805 : x
  2. Step 2: Convert to fraction form
    435,283.50/665,805 = 665,805/x
  3. Step 3: Cross multiply
    435,283.50x = 665,805 × 665,805
  4. Step 4: Simplify right side
    435,283.50x = 443,296,298,025
  5. Step 5: Solve for x
    x = 443,296,298,025/435,283.50
  6. Step 6: Final answer
    x = 1,018,408.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.