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Finding the Third Proportional to 245,997 and 540,427.50

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Solution

The third proportional to 245,997 and 540,427.50 is: 1,187,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,997 : 540,427.50 = 540,427.50 : x
  2. Step 2: Convert to fraction form
    245,997/540,427.50 = 540,427.50/x
  3. Step 3: Cross multiply
    245,997x = 540,427.50 × 540,427.50
  4. Step 4: Simplify right side
    245,997x = 292,061,882,756.25
  5. Step 5: Solve for x
    x = 292,061,882,756.25/245,997
  6. Step 6: Final answer
    x = 1,187,257.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.