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Finding the Third Proportional to 213,066 and 466,221

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Solution

The third proportional to 213,066 and 466,221 is: 1,020,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,066 : 466,221 = 466,221 : x
  2. Step 2: Convert to fraction form
    213,066/466,221 = 466,221/x
  3. Step 3: Cross multiply
    213,066x = 466,221 × 466,221
  4. Step 4: Simplify right side
    213,066x = 217,362,020,841
  5. Step 5: Solve for x
    x = 217,362,020,841/213,066
  6. Step 6: Final answer
    x = 1,020,162.86

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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.