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Finding the Third Proportional to 213,801 and 460,743

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Solution

The third proportional to 213,801 and 460,743 is: 992,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,801 : 460,743 = 460,743 : x
  2. Step 2: Convert to fraction form
    213,801/460,743 = 460,743/x
  3. Step 3: Cross multiply
    213,801x = 460,743 × 460,743
  4. Step 4: Simplify right side
    213,801x = 212,284,112,049
  5. Step 5: Solve for x
    x = 212,284,112,049/213,801
  6. Step 6: Final answer
    x = 992,905.14

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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.