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Finding the Third Proportional to 263,551 and 567,128

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Solution

The third proportional to 263,551 and 567,128 is: 1,220,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,551 : 567,128 = 567,128 : x
  2. Step 2: Convert to fraction form
    263,551/567,128 = 567,128/x
  3. Step 3: Cross multiply
    263,551x = 567,128 × 567,128
  4. Step 4: Simplify right side
    263,551x = 321,634,168,384
  5. Step 5: Solve for x
    x = 321,634,168,384/263,551
  6. Step 6: Final answer
    x = 1,220,386.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.