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Finding the Third Proportional to 263,032 and 566,627

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Solution

The third proportional to 263,032 and 566,627 is: 1,220,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,032 : 566,627 = 566,627 : x
  2. Step 2: Convert to fraction form
    263,032/566,627 = 566,627/x
  3. Step 3: Cross multiply
    263,032x = 566,627 × 566,627
  4. Step 4: Simplify right side
    263,032x = 321,066,157,129
  5. Step 5: Solve for x
    x = 321,066,157,129/263,032
  6. Step 6: Final answer
    x = 1,220,635.35

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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.