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Finding the Third Proportional to 267,473.25 and 577,077

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Solution

The third proportional to 267,473.25 and 577,077 is: 1,245,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,473.25 : 577,077 = 577,077 : x
  2. Step 2: Convert to fraction form
    267,473.25/577,077 = 577,077/x
  3. Step 3: Cross multiply
    267,473.25x = 577,077 × 577,077
  4. Step 4: Simplify right side
    267,473.25x = 333,017,863,929
  5. Step 5: Solve for x
    x = 333,017,863,929/267,473.25
  6. Step 6: Final answer
    x = 1,245,051.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.