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Finding the Third Proportional to 308,913.75 and 721,710

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Solution

The third proportional to 308,913.75 and 721,710 is: 1,686,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,913.75 : 721,710 = 721,710 : x
  2. Step 2: Convert to fraction form
    308,913.75/721,710 = 721,710/x
  3. Step 3: Cross multiply
    308,913.75x = 721,710 × 721,710
  4. Step 4: Simplify right side
    308,913.75x = 520,865,324,100
  5. Step 5: Solve for x
    x = 520,865,324,100/308,913.75
  6. Step 6: Final answer
    x = 1,686,118.94

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.