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Finding the Third Proportional to 360,258.89 and 773,939.81

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Solution

The third proportional to 360,258.89 and 773,939.81 is: 1,662,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,258.89 : 773,939.81 = 773,939.81 : x
  2. Step 2: Convert to fraction form
    360,258.89/773,939.81 = 773,939.81/x
  3. Step 3: Cross multiply
    360,258.89x = 773,939.81 × 773,939.81
  4. Step 4: Simplify right side
    360,258.89x = 598,982,833,372.54
  5. Step 5: Solve for x
    x = 598,982,833,372.54/360,258.89
  6. Step 6: Final answer
    x = 1,662,645.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.