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Finding the Third Proportional to 351,264 and 828,264

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Solution

The third proportional to 351,264 and 828,264 is: 1,953,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,264 : 828,264 = 828,264 : x
  2. Step 2: Convert to fraction form
    351,264/828,264 = 828,264/x
  3. Step 3: Cross multiply
    351,264x = 828,264 × 828,264
  4. Step 4: Simplify right side
    351,264x = 686,021,253,696
  5. Step 5: Solve for x
    x = 686,021,253,696/351,264
  6. Step 6: Final answer
    x = 1,953,007.58

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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.