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Finding the Third Proportional to 351,225.50 and 828,836

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Solution

The third proportional to 351,225.50 and 828,836 is: 1,955,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,225.50 : 828,836 = 828,836 : x
  2. Step 2: Convert to fraction form
    351,225.50/828,836 = 828,836/x
  3. Step 3: Cross multiply
    351,225.50x = 828,836 × 828,836
  4. Step 4: Simplify right side
    351,225.50x = 686,969,114,896
  5. Step 5: Solve for x
    x = 686,969,114,896/351,225.50
  6. Step 6: Final answer
    x = 1,955,920.38

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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.