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Finding the Third Proportional to 341,668.13 and 725,380.31

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Solution

The third proportional to 341,668.13 and 725,380.31 is: 1,540,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,668.13 : 725,380.31 = 725,380.31 : x
  2. Step 2: Convert to fraction form
    341,668.13/725,380.31 = 725,380.31/x
  3. Step 3: Cross multiply
    341,668.13x = 725,380.31 × 725,380.31
  4. Step 4: Simplify right side
    341,668.13x = 526,176,597,762.60
  5. Step 5: Solve for x
    x = 526,176,597,762.60/341,668.13
  6. Step 6: Final answer
    x = 1,540,022.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.