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Finding the Third Proportional to 263,483 and 566,928

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Solution

The third proportional to 263,483 and 566,928 is: 1,219,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,483 : 566,928 = 566,928 : x
  2. Step 2: Convert to fraction form
    263,483/566,928 = 566,928/x
  3. Step 3: Cross multiply
    263,483x = 566,928 × 566,928
  4. Step 4: Simplify right side
    263,483x = 321,407,357,184
  5. Step 5: Solve for x
    x = 321,407,357,184/263,483
  6. Step 6: Final answer
    x = 1,219,840.97

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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.