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Finding the Third Proportional to 231,602.63 and 492,731.44

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Solution

The third proportional to 231,602.63 and 492,731.44 is: 1,048,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,602.63 : 492,731.44 = 492,731.44 : x
  2. Step 2: Convert to fraction form
    231,602.63/492,731.44 = 492,731.44/x
  3. Step 3: Cross multiply
    231,602.63x = 492,731.44 × 492,731.44
  4. Step 4: Simplify right side
    231,602.63x = 242,784,269,500.82
  5. Step 5: Solve for x
    x = 242,784,269,500.82/231,602.63
  6. Step 6: Final answer
    x = 1,048,279.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.