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Finding the Third Proportional to 269,732 and 581,533

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Solution

The third proportional to 269,732 and 581,533 is: 1,253,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,732 : 581,533 = 581,533 : x
  2. Step 2: Convert to fraction form
    269,732/581,533 = 581,533/x
  3. Step 3: Cross multiply
    269,732x = 581,533 × 581,533
  4. Step 4: Simplify right side
    269,732x = 338,180,630,089
  5. Step 5: Solve for x
    x = 338,180,630,089/269,732
  6. Step 6: Final answer
    x = 1,253,765.33

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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.