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Finding the Third Proportional to 262,168.88 and 574,359.19

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Solution

The third proportional to 262,168.88 and 574,359.19 is: 1,258,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,168.88 : 574,359.19 = 574,359.19 : x
  2. Step 2: Convert to fraction form
    262,168.88/574,359.19 = 574,359.19/x
  3. Step 3: Cross multiply
    262,168.88x = 574,359.19 × 574,359.19
  4. Step 4: Simplify right side
    262,168.88x = 329,888,476,265.66
  5. Step 5: Solve for x
    x = 329,888,476,265.66/262,168.88
  6. Step 6: Final answer
    x = 1,258,305.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.