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Finding the Third Proportional to 351,234 and 828,855

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Solution

The third proportional to 351,234 and 828,855 is: 1,955,962.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,234 : 828,855 = 828,855 : x
  2. Step 2: Convert to fraction form
    351,234/828,855 = 828,855/x
  3. Step 3: Cross multiply
    351,234x = 828,855 × 828,855
  4. Step 4: Simplify right side
    351,234x = 687,000,611,025
  5. Step 5: Solve for x
    x = 687,000,611,025/351,234
  6. Step 6: Final answer
    x = 1,955,962.72

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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.