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Finding the Third Proportional to 252,632.25 and 545,339.25

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Solution

The third proportional to 252,632.25 and 545,339.25 is: 1,177,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,632.25 : 545,339.25 = 545,339.25 : x
  2. Step 2: Convert to fraction form
    252,632.25/545,339.25 = 545,339.25/x
  3. Step 3: Cross multiply
    252,632.25x = 545,339.25 × 545,339.25
  4. Step 4: Simplify right side
    252,632.25x = 297,394,897,590.56
  5. Step 5: Solve for x
    x = 297,394,897,590.56/252,632.25
  6. Step 6: Final answer
    x = 1,177,185.01

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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.