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Finding the Third Proportional to 248,840 and 382,476

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Solution

The third proportional to 248,840 and 382,476 is: 587,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,840 : 382,476 = 382,476 : x
  2. Step 2: Convert to fraction form
    248,840/382,476 = 382,476/x
  3. Step 3: Cross multiply
    248,840x = 382,476 × 382,476
  4. Step 4: Simplify right side
    248,840x = 146,287,890,576
  5. Step 5: Solve for x
    x = 146,287,890,576/248,840
  6. Step 6: Final answer
    x = 587,879.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.