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Finding the Third Proportional to 378,798 and 828,811.50

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Solution

The third proportional to 378,798 and 828,811.50 is: 1,813,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,798 : 828,811.50 = 828,811.50 : x
  2. Step 2: Convert to fraction form
    378,798/828,811.50 = 828,811.50/x
  3. Step 3: Cross multiply
    378,798x = 828,811.50 × 828,811.50
  4. Step 4: Simplify right side
    378,798x = 686,928,502,532.25
  5. Step 5: Solve for x
    x = 686,928,502,532.25/378,798
  6. Step 6: Final answer
    x = 1,813,442.79

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