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Finding the Third Proportional to 221,076.75 and 473,697.75

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Solution

The third proportional to 221,076.75 and 473,697.75 is: 1,014,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,076.75 : 473,697.75 = 473,697.75 : x
  2. Step 2: Convert to fraction form
    221,076.75/473,697.75 = 473,697.75/x
  3. Step 3: Cross multiply
    221,076.75x = 473,697.75 × 473,697.75
  4. Step 4: Simplify right side
    221,076.75x = 224,389,558,355.06
  5. Step 5: Solve for x
    x = 224,389,558,355.06/221,076.75
  6. Step 6: Final answer
    x = 1,014,984.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.