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Finding the Third Proportional to 220,806 and 480,018

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Solution

The third proportional to 220,806 and 480,018 is: 1,043,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,806 : 480,018 = 480,018 : x
  2. Step 2: Convert to fraction form
    220,806/480,018 = 480,018/x
  3. Step 3: Cross multiply
    220,806x = 480,018 × 480,018
  4. Step 4: Simplify right side
    220,806x = 230,417,280,324
  5. Step 5: Solve for x
    x = 230,417,280,324/220,806
  6. Step 6: Final answer
    x = 1,043,528.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.