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Finding the Third Proportional to 216,903 and 470,006

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Solution

The third proportional to 216,903 and 470,006 is: 1,018,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,903 : 470,006 = 470,006 : x
  2. Step 2: Convert to fraction form
    216,903/470,006 = 470,006/x
  3. Step 3: Cross multiply
    216,903x = 470,006 × 470,006
  4. Step 4: Simplify right side
    216,903x = 220,905,640,036
  5. Step 5: Solve for x
    x = 220,905,640,036/216,903
  6. Step 6: Final answer
    x = 1,018,453.59

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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.