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Finding the Third Proportional to 213,060 and 466,212

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Solution

The third proportional to 213,060 and 466,212 is: 1,020,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,060 : 466,212 = 466,212 : x
  2. Step 2: Convert to fraction form
    213,060/466,212 = 466,212/x
  3. Step 3: Cross multiply
    213,060x = 466,212 × 466,212
  4. Step 4: Simplify right side
    213,060x = 217,353,628,944
  5. Step 5: Solve for x
    x = 217,353,628,944/213,060
  6. Step 6: Final answer
    x = 1,020,152.21

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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.