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Finding the Third Proportional to 650,274.75 and 863,065.13

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Solution

The third proportional to 650,274.75 and 863,065.13 is: 1,145,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,274.75 : 863,065.13 = 863,065.13 : x
  2. Step 2: Convert to fraction form
    650,274.75/863,065.13 = 863,065.13/x
  3. Step 3: Cross multiply
    650,274.75x = 863,065.13 × 863,065.13
  4. Step 4: Simplify right side
    650,274.75x = 744,881,409,991.27
  5. Step 5: Solve for x
    x = 744,881,409,991.27/650,274.75
  6. Step 6: Final answer
    x = 1,145,487.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.