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Finding the Third Proportional to 213,948 and 460,080

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Solution

The third proportional to 213,948 and 460,080 is: 989,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,948 : 460,080 = 460,080 : x
  2. Step 2: Convert to fraction form
    213,948/460,080 = 460,080/x
  3. Step 3: Cross multiply
    213,948x = 460,080 × 460,080
  4. Step 4: Simplify right side
    213,948x = 211,673,606,400
  5. Step 5: Solve for x
    x = 211,673,606,400/213,948
  6. Step 6: Final answer
    x = 989,369.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.