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Finding the Third Proportional to 353,205 and 763,269.75

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Solution

The third proportional to 353,205 and 763,269.75 is: 1,649,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,205 : 763,269.75 = 763,269.75 : x
  2. Step 2: Convert to fraction form
    353,205/763,269.75 = 763,269.75/x
  3. Step 3: Cross multiply
    353,205x = 763,269.75 × 763,269.75
  4. Step 4: Simplify right side
    353,205x = 582,580,711,265.06
  5. Step 5: Solve for x
    x = 582,580,711,265.06/353,205
  6. Step 6: Final answer
    x = 1,649,412.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.