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Finding the Third Proportional to 211,546 and 440,588

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Solution

The third proportional to 211,546 and 440,588 is: 917,615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,546 : 440,588 = 440,588 : x
  2. Step 2: Convert to fraction form
    211,546/440,588 = 440,588/x
  3. Step 3: Cross multiply
    211,546x = 440,588 × 440,588
  4. Step 4: Simplify right side
    211,546x = 194,117,785,744
  5. Step 5: Solve for x
    x = 194,117,785,744/211,546
  6. Step 6: Final answer
    x = 917,615.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.