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Finding the Third Proportional to 221,089.50 and 519,711.75

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Solution

The third proportional to 221,089.50 and 519,711.75 is: 1,221,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,089.50 : 519,711.75 = 519,711.75 : x
  2. Step 2: Convert to fraction form
    221,089.50/519,711.75 = 519,711.75/x
  3. Step 3: Cross multiply
    221,089.50x = 519,711.75 × 519,711.75
  4. Step 4: Simplify right side
    221,089.50x = 270,100,303,088.06
  5. Step 5: Solve for x
    x = 270,100,303,088.06/221,089.50
  6. Step 6: Final answer
    x = 1,221,678.56

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.