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Finding the Third Proportional to 343,446.75 and 744,097.50

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Solution

The third proportional to 343,446.75 and 744,097.50 is: 1,612,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,446.75 : 744,097.50 = 744,097.50 : x
  2. Step 2: Convert to fraction form
    343,446.75/744,097.50 = 744,097.50/x
  3. Step 3: Cross multiply
    343,446.75x = 744,097.50 × 744,097.50
  4. Step 4: Simplify right side
    343,446.75x = 553,681,089,506.25
  5. Step 5: Solve for x
    x = 553,681,089,506.25/343,446.75
  6. Step 6: Final answer
    x = 1,612,130.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.