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Finding the Third Proportional to 221,389 and 475,029

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Solution

The third proportional to 221,389 and 475,029 is: 1,019,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,389 : 475,029 = 475,029 : x
  2. Step 2: Convert to fraction form
    221,389/475,029 = 475,029/x
  3. Step 3: Cross multiply
    221,389x = 475,029 × 475,029
  4. Step 4: Simplify right side
    221,389x = 225,652,550,841
  5. Step 5: Solve for x
    x = 225,652,550,841/221,389
  6. Step 6: Final answer
    x = 1,019,258.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.