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Finding the Third Proportional to 250,626 and 540,372

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Solution

The third proportional to 250,626 and 540,372 is: 1,165,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,626 : 540,372 = 540,372 : x
  2. Step 2: Convert to fraction form
    250,626/540,372 = 540,372/x
  3. Step 3: Cross multiply
    250,626x = 540,372 × 540,372
  4. Step 4: Simplify right side
    250,626x = 292,001,898,384
  5. Step 5: Solve for x
    x = 292,001,898,384/250,626
  6. Step 6: Final answer
    x = 1,165,090.21

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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.