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Finding the Third Proportional to 221,080 and 473,679

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Solution

The third proportional to 221,080 and 473,679 is: 1,014,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,080 : 473,679 = 473,679 : x
  2. Step 2: Convert to fraction form
    221,080/473,679 = 473,679/x
  3. Step 3: Cross multiply
    221,080x = 473,679 × 473,679
  4. Step 4: Simplify right side
    221,080x = 224,371,795,041
  5. Step 5: Solve for x
    x = 224,371,795,041/221,080
  6. Step 6: Final answer
    x = 1,014,889.61

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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.