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Finding the Third Proportional to 351,270 and 828,943.50

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Solution

The third proportional to 351,270 and 828,943.50 is: 1,956,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,270 : 828,943.50 = 828,943.50 : x
  2. Step 2: Convert to fraction form
    351,270/828,943.50 = 828,943.50/x
  3. Step 3: Cross multiply
    351,270x = 828,943.50 × 828,943.50
  4. Step 4: Simplify right side
    351,270x = 687,147,326,192.25
  5. Step 5: Solve for x
    x = 687,147,326,192.25/351,270
  6. Step 6: Final answer
    x = 1,956,179.94

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