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Finding the Third Proportional to 386,653.50 and 847,665

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Solution

The third proportional to 386,653.50 and 847,665 is: 1,858,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,653.50 : 847,665 = 847,665 : x
  2. Step 2: Convert to fraction form
    386,653.50/847,665 = 847,665/x
  3. Step 3: Cross multiply
    386,653.50x = 847,665 × 847,665
  4. Step 4: Simplify right side
    386,653.50x = 718,535,952,225
  5. Step 5: Solve for x
    x = 718,535,952,225/386,653.50
  6. Step 6: Final answer
    x = 1,858,345.91

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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.