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Finding the Third Proportional to 250,976 and 540,400

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Solution

The third proportional to 250,976 and 540,400 is: 1,163,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,976 : 540,400 = 540,400 : x
  2. Step 2: Convert to fraction form
    250,976/540,400 = 540,400/x
  3. Step 3: Cross multiply
    250,976x = 540,400 × 540,400
  4. Step 4: Simplify right side
    250,976x = 292,032,160,000
  5. Step 5: Solve for x
    x = 292,032,160,000/250,976
  6. Step 6: Final answer
    x = 1,163,586.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.