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Finding the Third Proportional to 212,909 and 466,639

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Solution

The third proportional to 212,909 and 466,639 is: 1,022,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,909 : 466,639 = 466,639 : x
  2. Step 2: Convert to fraction form
    212,909/466,639 = 466,639/x
  3. Step 3: Cross multiply
    212,909x = 466,639 × 466,639
  4. Step 4: Simplify right side
    212,909x = 217,751,956,321
  5. Step 5: Solve for x
    x = 217,751,956,321/212,909
  6. Step 6: Final answer
    x = 1,022,746.60

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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.