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Finding the Third Proportional to 244,077 and 506,600

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Solution

The third proportional to 244,077 and 506,600 is: 1,051,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,077 : 506,600 = 506,600 : x
  2. Step 2: Convert to fraction form
    244,077/506,600 = 506,600/x
  3. Step 3: Cross multiply
    244,077x = 506,600 × 506,600
  4. Step 4: Simplify right side
    244,077x = 256,643,560,000
  5. Step 5: Solve for x
    x = 256,643,560,000/244,077
  6. Step 6: Final answer
    x = 1,051,486.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.