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Finding the Third Proportional to 212,175 and 462,222

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Solution

The third proportional to 212,175 and 462,222 is: 1,006,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,175 : 462,222 = 462,222 : x
  2. Step 2: Convert to fraction form
    212,175/462,222 = 462,222/x
  3. Step 3: Cross multiply
    212,175x = 462,222 × 462,222
  4. Step 4: Simplify right side
    212,175x = 213,649,177,284
  5. Step 5: Solve for x
    x = 213,649,177,284/212,175
  6. Step 6: Final answer
    x = 1,006,947.93

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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.