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Finding the Third Proportional to 322,026 and 699,378

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Solution

The third proportional to 322,026 and 699,378 is: 1,518,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,026 : 699,378 = 699,378 : x
  2. Step 2: Convert to fraction form
    322,026/699,378 = 699,378/x
  3. Step 3: Cross multiply
    322,026x = 699,378 × 699,378
  4. Step 4: Simplify right side
    322,026x = 489,129,586,884
  5. Step 5: Solve for x
    x = 489,129,586,884/322,026
  6. Step 6: Final answer
    x = 1,518,913.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.