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Finding the Third Proportional to 386,289.32 and 568,265.94

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Solution

The third proportional to 386,289.32 and 568,265.94 is: 835,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,289.32 : 568,265.94 = 568,265.94 : x
  2. Step 2: Convert to fraction form
    386,289.32/568,265.94 = 568,265.94/x
  3. Step 3: Cross multiply
    386,289.32x = 568,265.94 × 568,265.94
  4. Step 4: Simplify right side
    386,289.32x = 322,926,180,162.33
  5. Step 5: Solve for x
    x = 322,926,180,162.33/386,289.32
  6. Step 6: Final answer
    x = 835,969.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.