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Finding the Third Proportional to 380,001 and 593,004

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Solution

The third proportional to 380,001 and 593,004 is: 925,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,001 : 593,004 = 593,004 : x
  2. Step 2: Convert to fraction form
    380,001/593,004 = 593,004/x
  3. Step 3: Cross multiply
    380,001x = 593,004 × 593,004
  4. Step 4: Simplify right side
    380,001x = 351,653,744,016
  5. Step 5: Solve for x
    x = 351,653,744,016/380,001
  6. Step 6: Final answer
    x = 925,402.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.