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Finding the Third Proportional to 263,485 and 566,932

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Solution

The third proportional to 263,485 and 566,932 is: 1,219,848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,485 : 566,932 = 566,932 : x
  2. Step 2: Convert to fraction form
    263,485/566,932 = 566,932/x
  3. Step 3: Cross multiply
    263,485x = 566,932 × 566,932
  4. Step 4: Simplify right side
    263,485x = 321,411,892,624
  5. Step 5: Solve for x
    x = 321,411,892,624/263,485
  6. Step 6: Final answer
    x = 1,219,848.92

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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.