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Finding the Third Proportional to 213,792.75 and 460,725.75

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Solution

The third proportional to 213,792.75 and 460,725.75 is: 992,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,792.75 : 460,725.75 = 460,725.75 : x
  2. Step 2: Convert to fraction form
    213,792.75/460,725.75 = 460,725.75/x
  3. Step 3: Cross multiply
    213,792.75x = 460,725.75 × 460,725.75
  4. Step 4: Simplify right side
    213,792.75x = 212,268,216,713.06
  5. Step 5: Solve for x
    x = 212,268,216,713.06/213,792.75
  6. Step 6: Final answer
    x = 992,869.11

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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.