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Finding the Third Proportional to 286,633.69 and 614,683.69

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Solution

The third proportional to 286,633.69 and 614,683.69 is: 1,318,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,633.69 : 614,683.69 = 614,683.69 : x
  2. Step 2: Convert to fraction form
    286,633.69/614,683.69 = 614,683.69/x
  3. Step 3: Cross multiply
    286,633.69x = 614,683.69 × 614,683.69
  4. Step 4: Simplify right side
    286,633.69x = 377,836,035,678.60
  5. Step 5: Solve for x
    x = 377,836,035,678.60/286,633.69
  6. Step 6: Final answer
    x = 1,318,184.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.