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Finding the Third Proportional to 213,790.64 and 460,720.41

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Solution

The third proportional to 213,790.64 and 460,720.41 is: 992,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,790.64 : 460,720.41 = 460,720.41 : x
  2. Step 2: Convert to fraction form
    213,790.64/460,720.41 = 460,720.41/x
  3. Step 3: Cross multiply
    213,790.64x = 460,720.41 × 460,720.41
  4. Step 4: Simplify right side
    213,790.64x = 212,263,292,735.17
  5. Step 5: Solve for x
    x = 212,263,292,735.17/213,790.64
  6. Step 6: Final answer
    x = 992,855.87

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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.