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Finding the Third Proportional to 270,236.25 and 625,531.50

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Solution

The third proportional to 270,236.25 and 625,531.50 is: 1,447,953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,236.25 : 625,531.50 = 625,531.50 : x
  2. Step 2: Convert to fraction form
    270,236.25/625,531.50 = 625,531.50/x
  3. Step 3: Cross multiply
    270,236.25x = 625,531.50 × 625,531.50
  4. Step 4: Simplify right side
    270,236.25x = 391,289,657,492.25
  5. Step 5: Solve for x
    x = 391,289,657,492.25/270,236.25
  6. Step 6: Final answer
    x = 1,447,953.99

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.