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Finding the Third Proportional to 313,241.06 and 477,205.59

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Solution

The third proportional to 313,241.06 and 477,205.59 is: 726,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,241.06 : 477,205.59 = 477,205.59 : x
  2. Step 2: Convert to fraction form
    313,241.06/477,205.59 = 477,205.59/x
  3. Step 3: Cross multiply
    313,241.06x = 477,205.59 × 477,205.59
  4. Step 4: Simplify right side
    313,241.06x = 227,725,178,706.29
  5. Step 5: Solve for x
    x = 227,725,178,706.29/313,241.06
  6. Step 6: Final answer
    x = 726,996.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.