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Finding the Third Proportional to 386,984.25 and 597,729.38

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Solution

The third proportional to 386,984.25 and 597,729.38 is: 923,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,984.25 : 597,729.38 = 597,729.38 : x
  2. Step 2: Convert to fraction form
    386,984.25/597,729.38 = 597,729.38/x
  3. Step 3: Cross multiply
    386,984.25x = 597,729.38 × 597,729.38
  4. Step 4: Simplify right side
    386,984.25x = 357,280,405,737.89
  5. Step 5: Solve for x
    x = 357,280,405,737.89/386,984.25
  6. Step 6: Final answer
    x = 923,242.76

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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.