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Finding the Third Proportional to 213,309 and 460,827

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Solution

The third proportional to 213,309 and 460,827 is: 995,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,309 : 460,827 = 460,827 : x
  2. Step 2: Convert to fraction form
    213,309/460,827 = 460,827/x
  3. Step 3: Cross multiply
    213,309x = 460,827 × 460,827
  4. Step 4: Simplify right side
    213,309x = 212,361,523,929
  5. Step 5: Solve for x
    x = 212,361,523,929/213,309
  6. Step 6: Final answer
    x = 995,558.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.