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Finding the Third Proportional to 378,774 and 828,807

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Solution

The third proportional to 378,774 and 828,807 is: 1,813,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,774 : 828,807 = 828,807 : x
  2. Step 2: Convert to fraction form
    378,774/828,807 = 828,807/x
  3. Step 3: Cross multiply
    378,774x = 828,807 × 828,807
  4. Step 4: Simplify right side
    378,774x = 686,921,043,249
  5. Step 5: Solve for x
    x = 686,921,043,249/378,774
  6. Step 6: Final answer
    x = 1,813,538.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.