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Finding the Third Proportional to 290,694 and 603,258

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Solution

The third proportional to 290,694 and 603,258 is: 1,251,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,694 : 603,258 = 603,258 : x
  2. Step 2: Convert to fraction form
    290,694/603,258 = 603,258/x
  3. Step 3: Cross multiply
    290,694x = 603,258 × 603,258
  4. Step 4: Simplify right side
    290,694x = 363,920,214,564
  5. Step 5: Solve for x
    x = 363,920,214,564/290,694
  6. Step 6: Final answer
    x = 1,251,901.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.