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Finding the Third Proportional to 309,742.13 and 436,191.75

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Solution

The third proportional to 309,742.13 and 436,191.75 is: 614,263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,742.13 : 436,191.75 = 436,191.75 : x
  2. Step 2: Convert to fraction form
    309,742.13/436,191.75 = 436,191.75/x
  3. Step 3: Cross multiply
    309,742.13x = 436,191.75 × 436,191.75
  4. Step 4: Simplify right side
    309,742.13x = 190,263,242,768.06
  5. Step 5: Solve for x
    x = 190,263,242,768.06/309,742.13
  6. Step 6: Final answer
    x = 614,263.37

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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.