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Finding the Third Proportional to 234,977.63 and 496,742.63

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Solution

The third proportional to 234,977.63 and 496,742.63 is: 1,050,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,977.63 : 496,742.63 = 496,742.63 : x
  2. Step 2: Convert to fraction form
    234,977.63/496,742.63 = 496,742.63/x
  3. Step 3: Cross multiply
    234,977.63x = 496,742.63 × 496,742.63
  4. Step 4: Simplify right side
    234,977.63x = 246,753,235,491.89
  5. Step 5: Solve for x
    x = 246,753,235,491.89/234,977.63
  6. Step 6: Final answer
    x = 1,050,113.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.