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Finding the Third Proportional to 209,800.13 and 458,028.84

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Solution

The third proportional to 209,800.13 and 458,028.84 is: 999,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,800.13 : 458,028.84 = 458,028.84 : x
  2. Step 2: Convert to fraction form
    209,800.13/458,028.84 = 458,028.84/x
  3. Step 3: Cross multiply
    209,800.13x = 458,028.84 × 458,028.84
  4. Step 4: Simplify right side
    209,800.13x = 209,790,421,706.96
  5. Step 5: Solve for x
    x = 209,790,421,706.96/209,800.13
  6. Step 6: Final answer
    x = 999,953.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.