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Finding the Third Proportional to 221,927.34 and 479,325.09

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Solution

The third proportional to 221,927.34 and 479,325.09 is: 1,035,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,927.34 : 479,325.09 = 479,325.09 : x
  2. Step 2: Convert to fraction form
    221,927.34/479,325.09 = 479,325.09/x
  3. Step 3: Cross multiply
    221,927.34x = 479,325.09 × 479,325.09
  4. Step 4: Simplify right side
    221,927.34x = 229,752,545,498.45
  5. Step 5: Solve for x
    x = 229,752,545,498.45/221,927.34
  6. Step 6: Final answer
    x = 1,035,260.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.