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Finding the Third Proportional to 351,263 and 828,930

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Solution

The third proportional to 351,263 and 828,930 is: 1,956,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,263 : 828,930 = 828,930 : x
  2. Step 2: Convert to fraction form
    351,263/828,930 = 828,930/x
  3. Step 3: Cross multiply
    351,263x = 828,930 × 828,930
  4. Step 4: Simplify right side
    351,263x = 687,124,944,900
  5. Step 5: Solve for x
    x = 687,124,944,900/351,263
  6. Step 6: Final answer
    x = 1,956,155.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.