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Finding the Third Proportional to 244,707 and 537,615

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Solution

The third proportional to 244,707 and 537,615 is: 1,181,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,707 : 537,615 = 537,615 : x
  2. Step 2: Convert to fraction form
    244,707/537,615 = 537,615/x
  3. Step 3: Cross multiply
    244,707x = 537,615 × 537,615
  4. Step 4: Simplify right side
    244,707x = 289,029,888,225
  5. Step 5: Solve for x
    x = 289,029,888,225/244,707
  6. Step 6: Final answer
    x = 1,181,126.36

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Why These Related Problems?

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