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Finding the Third Proportional to 286,926 and 421,173

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Solution

The third proportional to 286,926 and 421,173 is: 618,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,926 : 421,173 = 421,173 : x
  2. Step 2: Convert to fraction form
    286,926/421,173 = 421,173/x
  3. Step 3: Cross multiply
    286,926x = 421,173 × 421,173
  4. Step 4: Simplify right side
    286,926x = 177,386,695,929
  5. Step 5: Solve for x
    x = 177,386,695,929/286,926
  6. Step 6: Final answer
    x = 618,231.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.