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Finding the Third Proportional to 309,704 and 436,113

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Solution

The third proportional to 309,704 and 436,113 is: 614,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,704 : 436,113 = 436,113 : x
  2. Step 2: Convert to fraction form
    309,704/436,113 = 436,113/x
  3. Step 3: Cross multiply
    309,704x = 436,113 × 436,113
  4. Step 4: Simplify right side
    309,704x = 190,194,548,769
  5. Step 5: Solve for x
    x = 190,194,548,769/309,704
  6. Step 6: Final answer
    x = 614,117.19

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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.