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Finding the Third Proportional to 291,823.50 and 639,006

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Solution

The third proportional to 291,823.50 and 639,006 is: 1,399,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,823.50 : 639,006 = 639,006 : x
  2. Step 2: Convert to fraction form
    291,823.50/639,006 = 639,006/x
  3. Step 3: Cross multiply
    291,823.50x = 639,006 × 639,006
  4. Step 4: Simplify right side
    291,823.50x = 408,328,668,036
  5. Step 5: Solve for x
    x = 408,328,668,036/291,823.50
  6. Step 6: Final answer
    x = 1,399,231.62

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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.