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Finding the Third Proportional to 267,816 and 577,104

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Solution

The third proportional to 267,816 and 577,104 is: 1,243,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,816 : 577,104 = 577,104 : x
  2. Step 2: Convert to fraction form
    267,816/577,104 = 577,104/x
  3. Step 3: Cross multiply
    267,816x = 577,104 × 577,104
  4. Step 4: Simplify right side
    267,816x = 333,049,026,816
  5. Step 5: Solve for x
    x = 333,049,026,816/267,816
  6. Step 6: Final answer
    x = 1,243,574.05

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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.