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Finding the Third Proportional to 436,202 and 639,902

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Solution

The third proportional to 436,202 and 639,902 is: 938,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,202 : 639,902 = 639,902 : x
  2. Step 2: Convert to fraction form
    436,202/639,902 = 639,902/x
  3. Step 3: Cross multiply
    436,202x = 639,902 × 639,902
  4. Step 4: Simplify right side
    436,202x = 409,474,569,604
  5. Step 5: Solve for x
    x = 409,474,569,604/436,202
  6. Step 6: Final answer
    x = 938,726.94

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