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Finding the Third Proportional to 246,576 and 361,080

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Solution

The third proportional to 246,576 and 361,080 is: 528,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,576 : 361,080 = 361,080 : x
  2. Step 2: Convert to fraction form
    246,576/361,080 = 361,080/x
  3. Step 3: Cross multiply
    246,576x = 361,080 × 361,080
  4. Step 4: Simplify right side
    246,576x = 130,378,766,400
  5. Step 5: Solve for x
    x = 130,378,766,400/246,576
  6. Step 6: Final answer
    x = 528,756.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.