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Finding the Third Proportional to 252,028.50 and 399,268.50

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Solution

The third proportional to 252,028.50 and 399,268.50 is: 632,529.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,028.50 : 399,268.50 = 399,268.50 : x
  2. Step 2: Convert to fraction form
    252,028.50/399,268.50 = 399,268.50/x
  3. Step 3: Cross multiply
    252,028.50x = 399,268.50 × 399,268.50
  4. Step 4: Simplify right side
    252,028.50x = 159,415,335,092.25
  5. Step 5: Solve for x
    x = 159,415,335,092.25/252,028.50
  6. Step 6: Final answer
    x = 632,529.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.