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Finding the Third Proportional to 250,620 and 540,644

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Solution

The third proportional to 250,620 and 540,644 is: 1,166,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,620 : 540,644 = 540,644 : x
  2. Step 2: Convert to fraction form
    250,620/540,644 = 540,644/x
  3. Step 3: Cross multiply
    250,620x = 540,644 × 540,644
  4. Step 4: Simplify right side
    250,620x = 292,295,934,736
  5. Step 5: Solve for x
    x = 292,295,934,736/250,620
  6. Step 6: Final answer
    x = 1,166,291.34

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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.