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Finding the Third Proportional to 378,756.50 and 828,779.50

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Solution

The third proportional to 378,756.50 and 828,779.50 is: 1,813,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,756.50 : 828,779.50 = 828,779.50 : x
  2. Step 2: Convert to fraction form
    378,756.50/828,779.50 = 828,779.50/x
  3. Step 3: Cross multiply
    378,756.50x = 828,779.50 × 828,779.50
  4. Step 4: Simplify right side
    378,756.50x = 686,875,459,620.25
  5. Step 5: Solve for x
    x = 686,875,459,620.25/378,756.50
  6. Step 6: Final answer
    x = 1,813,501.44

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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.