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Finding the Third Proportional to 277,214 and 440,700

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Solution

The third proportional to 277,214 and 440,700 is: 700,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,214 : 440,700 = 440,700 : x
  2. Step 2: Convert to fraction form
    277,214/440,700 = 440,700/x
  3. Step 3: Cross multiply
    277,214x = 440,700 × 440,700
  4. Step 4: Simplify right side
    277,214x = 194,216,490,000
  5. Step 5: Solve for x
    x = 194,216,490,000/277,214
  6. Step 6: Final answer
    x = 700,601.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.