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Finding the Third Proportional to 277,814 and 420,596

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Solution

The third proportional to 277,814 and 420,596 is: 636,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,814 : 420,596 = 420,596 : x
  2. Step 2: Convert to fraction form
    277,814/420,596 = 420,596/x
  3. Step 3: Cross multiply
    277,814x = 420,596 × 420,596
  4. Step 4: Simplify right side
    277,814x = 176,900,995,216
  5. Step 5: Solve for x
    x = 176,900,995,216/277,814
  6. Step 6: Final answer
    x = 636,760.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.