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Finding the Third Proportional to 376,536 and 828,888

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Solution

The third proportional to 376,536 and 828,888 is: 1,824,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,536 : 828,888 = 828,888 : x
  2. Step 2: Convert to fraction form
    376,536/828,888 = 828,888/x
  3. Step 3: Cross multiply
    376,536x = 828,888 × 828,888
  4. Step 4: Simplify right side
    376,536x = 687,055,316,544
  5. Step 5: Solve for x
    x = 687,055,316,544/376,536
  6. Step 6: Final answer
    x = 1,824,673.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.