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Finding the Third Proportional to 437,980 and 944,324

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Solution

The third proportional to 437,980 and 944,324 is: 2,036,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,980 : 944,324 = 944,324 : x
  2. Step 2: Convert to fraction form
    437,980/944,324 = 944,324/x
  3. Step 3: Cross multiply
    437,980x = 944,324 × 944,324
  4. Step 4: Simplify right side
    437,980x = 891,747,816,976
  5. Step 5: Solve for x
    x = 891,747,816,976/437,980
  6. Step 6: Final answer
    x = 2,036,046.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.