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Finding the Third Proportional to 597,967.23 and 923,390.27

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Solution

The third proportional to 597,967.23 and 923,390.27 is: 1,425,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,967.23 : 923,390.27 = 923,390.27 : x
  2. Step 2: Convert to fraction form
    597,967.23/923,390.27 = 923,390.27/x
  3. Step 3: Cross multiply
    597,967.23x = 923,390.27 × 923,390.27
  4. Step 4: Simplify right side
    597,967.23x = 852,649,591,668.43
  5. Step 5: Solve for x
    x = 852,649,591,668.43/597,967.23
  6. Step 6: Final answer
    x = 1,425,913.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.