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Finding the Third Proportional to 221,091.75 and 473,721.75

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Solution

The third proportional to 221,091.75 and 473,721.75 is: 1,015,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,091.75 : 473,721.75 = 473,721.75 : x
  2. Step 2: Convert to fraction form
    221,091.75/473,721.75 = 473,721.75/x
  3. Step 3: Cross multiply
    221,091.75x = 473,721.75 × 473,721.75
  4. Step 4: Simplify right side
    221,091.75x = 224,412,296,423.06
  5. Step 5: Solve for x
    x = 224,412,296,423.06/221,091.75
  6. Step 6: Final answer
    x = 1,015,018.86

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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.