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Finding the Third Proportional to 233,604 and 367,007

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Solution

The third proportional to 233,604 and 367,007 is: 576,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,604 : 367,007 = 367,007 : x
  2. Step 2: Convert to fraction form
    233,604/367,007 = 367,007/x
  3. Step 3: Cross multiply
    233,604x = 367,007 × 367,007
  4. Step 4: Simplify right side
    233,604x = 134,694,138,049
  5. Step 5: Solve for x
    x = 134,694,138,049/233,604
  6. Step 6: Final answer
    x = 576,591.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.