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Finding the Third Proportional to 212,581 and 466,630

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Solution

The third proportional to 212,581 and 466,630 is: 1,024,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,581 : 466,630 = 466,630 : x
  2. Step 2: Convert to fraction form
    212,581/466,630 = 466,630/x
  3. Step 3: Cross multiply
    212,581x = 466,630 × 466,630
  4. Step 4: Simplify right side
    212,581x = 217,743,556,900
  5. Step 5: Solve for x
    x = 217,743,556,900/212,581
  6. Step 6: Final answer
    x = 1,024,285.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.