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Finding the Third Proportional to 213,324.75 and 460,812.38

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Solution

The third proportional to 213,324.75 and 460,812.38 is: 995,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,324.75 : 460,812.38 = 460,812.38 : x
  2. Step 2: Convert to fraction form
    213,324.75/460,812.38 = 460,812.38/x
  3. Step 3: Cross multiply
    213,324.75x = 460,812.38 × 460,812.38
  4. Step 4: Simplify right side
    213,324.75x = 212,348,044,953.14
  5. Step 5: Solve for x
    x = 212,348,044,953.14/213,324.75
  6. Step 6: Final answer
    x = 995,421.51

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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.