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Finding the Third Proportional to 547,243.59 and 874,207.69

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Solution

The third proportional to 547,243.59 and 874,207.69 is: 1,396,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,243.59 : 874,207.69 = 874,207.69 : x
  2. Step 2: Convert to fraction form
    547,243.59/874,207.69 = 874,207.69/x
  3. Step 3: Cross multiply
    547,243.59x = 874,207.69 × 874,207.69
  4. Step 4: Simplify right side
    547,243.59x = 764,239,080,884.10
  5. Step 5: Solve for x
    x = 764,239,080,884.10/547,243.59
  6. Step 6: Final answer
    x = 1,396,524.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.