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Finding the Third Proportional to 268,077 and 577,342.50

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Solution

The third proportional to 268,077 and 577,342.50 is: 1,243,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,077 : 577,342.50 = 577,342.50 : x
  2. Step 2: Convert to fraction form
    268,077/577,342.50 = 577,342.50/x
  3. Step 3: Cross multiply
    268,077x = 577,342.50 × 577,342.50
  4. Step 4: Simplify right side
    268,077x = 333,324,362,306.25
  5. Step 5: Solve for x
    x = 333,324,362,306.25/268,077
  6. Step 6: Final answer
    x = 1,243,390.38

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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.