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Finding the Third Proportional to 220,302 and 482,582.25

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Solution

The third proportional to 220,302 and 482,582.25 is: 1,057,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,302 : 482,582.25 = 482,582.25 : x
  2. Step 2: Convert to fraction form
    220,302/482,582.25 = 482,582.25/x
  3. Step 3: Cross multiply
    220,302x = 482,582.25 × 482,582.25
  4. Step 4: Simplify right side
    220,302x = 232,885,628,015.06
  5. Step 5: Solve for x
    x = 232,885,628,015.06/220,302
  6. Step 6: Final answer
    x = 1,057,119.90

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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.