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Finding the Third Proportional to 209,800.13 and 452,769.75

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Solution

The third proportional to 209,800.13 and 452,769.75 is: 977,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,800.13 : 452,769.75 = 452,769.75 : x
  2. Step 2: Convert to fraction form
    209,800.13/452,769.75 = 452,769.75/x
  3. Step 3: Cross multiply
    209,800.13x = 452,769.75 × 452,769.75
  4. Step 4: Simplify right side
    209,800.13x = 205,000,446,515.06
  5. Step 5: Solve for x
    x = 205,000,446,515.06/209,800.13
  6. Step 6: Final answer
    x = 977,122.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.