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Finding the Third Proportional to 270,591.89 and 587,293.03

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Solution

The third proportional to 270,591.89 and 587,293.03 is: 1,274,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,591.89 : 587,293.03 = 587,293.03 : x
  2. Step 2: Convert to fraction form
    270,591.89/587,293.03 = 587,293.03/x
  3. Step 3: Cross multiply
    270,591.89x = 587,293.03 × 587,293.03
  4. Step 4: Simplify right side
    270,591.89x = 344,913,104,554.81
  5. Step 5: Solve for x
    x = 344,913,104,554.81/270,591.89
  6. Step 6: Final answer
    x = 1,274,661.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.