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Finding the Third Proportional to 252,969.75 and 541,802.25

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Solution

The third proportional to 252,969.75 and 541,802.25 is: 1,160,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,969.75 : 541,802.25 = 541,802.25 : x
  2. Step 2: Convert to fraction form
    252,969.75/541,802.25 = 541,802.25/x
  3. Step 3: Cross multiply
    252,969.75x = 541,802.25 × 541,802.25
  4. Step 4: Simplify right side
    252,969.75x = 293,549,678,105.06
  5. Step 5: Solve for x
    x = 293,549,678,105.06/252,969.75
  6. Step 6: Final answer
    x = 1,160,414.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.