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Finding the Third Proportional to 309,662 and 436,076

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Solution

The third proportional to 309,662 and 436,076 is: 614,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,662 : 436,076 = 436,076 : x
  2. Step 2: Convert to fraction form
    309,662/436,076 = 436,076/x
  3. Step 3: Cross multiply
    309,662x = 436,076 × 436,076
  4. Step 4: Simplify right side
    309,662x = 190,162,277,776
  5. Step 5: Solve for x
    x = 190,162,277,776/309,662
  6. Step 6: Final answer
    x = 614,096.27

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.