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Finding the Third Proportional to 213,275.25 and 460,752.75

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Solution

The third proportional to 213,275.25 and 460,752.75 is: 995,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,275.25 : 460,752.75 = 460,752.75 : x
  2. Step 2: Convert to fraction form
    213,275.25/460,752.75 = 460,752.75/x
  3. Step 3: Cross multiply
    213,275.25x = 460,752.75 × 460,752.75
  4. Step 4: Simplify right side
    213,275.25x = 212,293,096,632.56
  5. Step 5: Solve for x
    x = 212,293,096,632.56/213,275.25
  6. Step 6: Final answer
    x = 995,394.90

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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.