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Finding the Third Proportional to 305,921.81 and 656,128.69

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Solution

The third proportional to 305,921.81 and 656,128.69 is: 1,407,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,921.81 : 656,128.69 = 656,128.69 : x
  2. Step 2: Convert to fraction form
    305,921.81/656,128.69 = 656,128.69/x
  3. Step 3: Cross multiply
    305,921.81x = 656,128.69 × 656,128.69
  4. Step 4: Simplify right side
    305,921.81x = 430,504,854,560.47
  5. Step 5: Solve for x
    x = 430,504,854,560.47/305,921.81
  6. Step 6: Final answer
    x = 1,407,238.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.