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Finding the Third Proportional to 237,048 and 440,466

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Solution

The third proportional to 237,048 and 440,466 is: 818,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,048 : 440,466 = 440,466 : x
  2. Step 2: Convert to fraction form
    237,048/440,466 = 440,466/x
  3. Step 3: Cross multiply
    237,048x = 440,466 × 440,466
  4. Step 4: Simplify right side
    237,048x = 194,010,297,156
  5. Step 5: Solve for x
    x = 194,010,297,156/237,048
  6. Step 6: Final answer
    x = 818,443.09

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.