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Finding the Third Proportional to 221,080.50 and 473,705.44

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Solution

The third proportional to 221,080.50 and 473,705.44 is: 1,015,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,080.50 : 473,705.44 = 473,705.44 : x
  2. Step 2: Convert to fraction form
    221,080.50/473,705.44 = 473,705.44/x
  3. Step 3: Cross multiply
    221,080.50x = 473,705.44 × 473,705.44
  4. Step 4: Simplify right side
    221,080.50x = 224,396,841,517.07
  5. Step 5: Solve for x
    x = 224,396,841,517.07/221,080.50
  6. Step 6: Final answer
    x = 1,015,000.61

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Why These Related Problems?

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