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Finding the Third Proportional to 250,047 and 547,519.50

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Solution

The third proportional to 250,047 and 547,519.50 is: 1,198,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,047 : 547,519.50 = 547,519.50 : x
  2. Step 2: Convert to fraction form
    250,047/547,519.50 = 547,519.50/x
  3. Step 3: Cross multiply
    250,047x = 547,519.50 × 547,519.50
  4. Step 4: Simplify right side
    250,047x = 299,777,602,880.25
  5. Step 5: Solve for x
    x = 299,777,602,880.25/250,047
  6. Step 6: Final answer
    x = 1,198,885.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.