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Finding the Third Proportional to 268,077 and 577,338

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Solution

The third proportional to 268,077 and 577,338 is: 1,243,371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,077 : 577,338 = 577,338 : x
  2. Step 2: Convert to fraction form
    268,077/577,338 = 577,338/x
  3. Step 3: Cross multiply
    268,077x = 577,338 × 577,338
  4. Step 4: Simplify right side
    268,077x = 333,319,166,244
  5. Step 5: Solve for x
    x = 333,319,166,244/268,077
  6. Step 6: Final answer
    x = 1,243,371.00

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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.