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Finding the Third Proportional to 344,205 and 745,611.75

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Solution

The third proportional to 344,205 and 745,611.75 is: 1,615,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,205 : 745,611.75 = 745,611.75 : x
  2. Step 2: Convert to fraction form
    344,205/745,611.75 = 745,611.75/x
  3. Step 3: Cross multiply
    344,205x = 745,611.75 × 745,611.75
  4. Step 4: Simplify right side
    344,205x = 555,936,881,738.06
  5. Step 5: Solve for x
    x = 555,936,881,738.06/344,205
  6. Step 6: Final answer
    x = 1,615,133.08

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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.