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Finding the Third Proportional to 229,790.25 and 496,476

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Solution

The third proportional to 229,790.25 and 496,476 is: 1,072,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,790.25 : 496,476 = 496,476 : x
  2. Step 2: Convert to fraction form
    229,790.25/496,476 = 496,476/x
  3. Step 3: Cross multiply
    229,790.25x = 496,476 × 496,476
  4. Step 4: Simplify right side
    229,790.25x = 246,488,418,576
  5. Step 5: Solve for x
    x = 246,488,418,576/229,790.25
  6. Step 6: Final answer
    x = 1,072,667.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.