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Finding the Third Proportional to 246,321.84 and 370,576.27

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Solution

The third proportional to 246,321.84 and 370,576.27 is: 557,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,321.84 : 370,576.27 = 370,576.27 : x
  2. Step 2: Convert to fraction form
    246,321.84/370,576.27 = 370,576.27/x
  3. Step 3: Cross multiply
    246,321.84x = 370,576.27 × 370,576.27
  4. Step 4: Simplify right side
    246,321.84x = 137,326,768,644.57
  5. Step 5: Solve for x
    x = 137,326,768,644.57/246,321.84
  6. Step 6: Final answer
    x = 557,509.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.