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Finding the Third Proportional to 351,266 and 828,269

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Solution

The third proportional to 351,266 and 828,269 is: 1,953,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,266 : 828,269 = 828,269 : x
  2. Step 2: Convert to fraction form
    351,266/828,269 = 828,269/x
  3. Step 3: Cross multiply
    351,266x = 828,269 × 828,269
  4. Step 4: Simplify right side
    351,266x = 686,029,536,361
  5. Step 5: Solve for x
    x = 686,029,536,361/351,266
  6. Step 6: Final answer
    x = 1,953,020.04

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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.