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Finding the Third Proportional to 200,588 and 440,541

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Solution

The third proportional to 200,588 and 440,541 is: 967,537.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,588 : 440,541 = 440,541 : x
  2. Step 2: Convert to fraction form
    200,588/440,541 = 440,541/x
  3. Step 3: Cross multiply
    200,588x = 440,541 × 440,541
  4. Step 4: Simplify right side
    200,588x = 194,076,372,681
  5. Step 5: Solve for x
    x = 194,076,372,681/200,588
  6. Step 6: Final answer
    x = 967,537.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.