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Finding the Third Proportional to 436,082 and 639,763

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Solution

The third proportional to 436,082 and 639,763 is: 938,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,082 : 639,763 = 639,763 : x
  2. Step 2: Convert to fraction form
    436,082/639,763 = 639,763/x
  3. Step 3: Cross multiply
    436,082x = 639,763 × 639,763
  4. Step 4: Simplify right side
    436,082x = 409,296,696,169
  5. Step 5: Solve for x
    x = 409,296,696,169/436,082
  6. Step 6: Final answer
    x = 938,577.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.