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Finding the Third Proportional to 267,784 and 577,040

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Solution

The third proportional to 267,784 and 577,040 is: 1,243,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,784 : 577,040 = 577,040 : x
  2. Step 2: Convert to fraction form
    267,784/577,040 = 577,040/x
  3. Step 3: Cross multiply
    267,784x = 577,040 × 577,040
  4. Step 4: Simplify right side
    267,784x = 332,975,161,600
  5. Step 5: Solve for x
    x = 332,975,161,600/267,784
  6. Step 6: Final answer
    x = 1,243,446.81

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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.