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Finding the Third Proportional to 252,877.50 and 529,130.25

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Solution

The third proportional to 252,877.50 and 529,130.25 is: 1,107,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,877.50 : 529,130.25 = 529,130.25 : x
  2. Step 2: Convert to fraction form
    252,877.50/529,130.25 = 529,130.25/x
  3. Step 3: Cross multiply
    252,877.50x = 529,130.25 × 529,130.25
  4. Step 4: Simplify right side
    252,877.50x = 279,978,821,465.06
  5. Step 5: Solve for x
    x = 279,978,821,465.06/252,877.50
  6. Step 6: Final answer
    x = 1,107,171.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.