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Finding the Third Proportional to 437,028 and 950,964

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Solution

The third proportional to 437,028 and 950,964 is: 2,069,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,028 : 950,964 = 950,964 : x
  2. Step 2: Convert to fraction form
    437,028/950,964 = 950,964/x
  3. Step 3: Cross multiply
    437,028x = 950,964 × 950,964
  4. Step 4: Simplify right side
    437,028x = 904,332,529,296
  5. Step 5: Solve for x
    x = 904,332,529,296/437,028
  6. Step 6: Final answer
    x = 2,069,278.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.