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Finding the Third Proportional to 343,395.75 and 745,884.75

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Solution

The third proportional to 343,395.75 and 745,884.75 is: 1,620,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,395.75 : 745,884.75 = 745,884.75 : x
  2. Step 2: Convert to fraction form
    343,395.75/745,884.75 = 745,884.75/x
  3. Step 3: Cross multiply
    343,395.75x = 745,884.75 × 745,884.75
  4. Step 4: Simplify right side
    343,395.75x = 556,344,060,282.56
  5. Step 5: Solve for x
    x = 556,344,060,282.56/343,395.75
  6. Step 6: Final answer
    x = 1,620,125.06

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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.