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Finding the Third Proportional to 221,882.47 and 486,000.44

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Solution

The third proportional to 221,882.47 and 486,000.44 is: 1,064,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,882.47 : 486,000.44 = 486,000.44 : x
  2. Step 2: Convert to fraction form
    221,882.47/486,000.44 = 486,000.44/x
  3. Step 3: Cross multiply
    221,882.47x = 486,000.44 × 486,000.44
  4. Step 4: Simplify right side
    221,882.47x = 236,196,425,250.19
  5. Step 5: Solve for x
    x = 236,196,425,250.19/221,882.47
  6. Step 6: Final answer
    x = 1,064,511.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.