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Finding the Third Proportional to 218,196 and 475,816

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Solution

The third proportional to 218,196 and 475,816 is: 1,037,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,196 : 475,816 = 475,816 : x
  2. Step 2: Convert to fraction form
    218,196/475,816 = 475,816/x
  3. Step 3: Cross multiply
    218,196x = 475,816 × 475,816
  4. Step 4: Simplify right side
    218,196x = 226,400,865,856
  5. Step 5: Solve for x
    x = 226,400,865,856/218,196
  6. Step 6: Final answer
    x = 1,037,603.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.