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Finding the Third Proportional to 222,584 and 480,806

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Solution

The third proportional to 222,584 and 480,806 is: 1,038,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,584 : 480,806 = 480,806 : x
  2. Step 2: Convert to fraction form
    222,584/480,806 = 480,806/x
  3. Step 3: Cross multiply
    222,584x = 480,806 × 480,806
  4. Step 4: Simplify right side
    222,584x = 231,174,409,636
  5. Step 5: Solve for x
    x = 231,174,409,636/222,584
  6. Step 6: Final answer
    x = 1,038,594.01

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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.