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Finding the Third Proportional to 437,829 and 950,388

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Solution

The third proportional to 437,829 and 950,388 is: 2,062,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,829 : 950,388 = 950,388 : x
  2. Step 2: Convert to fraction form
    437,829/950,388 = 950,388/x
  3. Step 3: Cross multiply
    437,829x = 950,388 × 950,388
  4. Step 4: Simplify right side
    437,829x = 903,237,350,544
  5. Step 5: Solve for x
    x = 903,237,350,544/437,829
  6. Step 6: Final answer
    x = 2,062,991.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.