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Finding the Third Proportional to 277,964 and 542,104

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Solution

The third proportional to 277,964 and 542,104 is: 1,057,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,964 : 542,104 = 542,104 : x
  2. Step 2: Convert to fraction form
    277,964/542,104 = 542,104/x
  3. Step 3: Cross multiply
    277,964x = 542,104 × 542,104
  4. Step 4: Simplify right side
    277,964x = 293,876,746,816
  5. Step 5: Solve for x
    x = 293,876,746,816/277,964
  6. Step 6: Final answer
    x = 1,057,247.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.