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Finding the Third Proportional to 367,977.94 and 779,656.50

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Solution

The third proportional to 367,977.94 and 779,656.50 is: 1,651,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,977.94 : 779,656.50 = 779,656.50 : x
  2. Step 2: Convert to fraction form
    367,977.94/779,656.50 = 779,656.50/x
  3. Step 3: Cross multiply
    367,977.94x = 779,656.50 × 779,656.50
  4. Step 4: Simplify right side
    367,977.94x = 607,864,257,992.25
  5. Step 5: Solve for x
    x = 607,864,257,992.25/367,977.94
  6. Step 6: Final answer
    x = 1,651,904.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.