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Finding the Third Proportional to 437,744.25 and 943,032.38

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Solution

The third proportional to 437,744.25 and 943,032.38 is: 2,031,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,744.25 : 943,032.38 = 943,032.38 : x
  2. Step 2: Convert to fraction form
    437,744.25/943,032.38 = 943,032.38/x
  3. Step 3: Cross multiply
    437,744.25x = 943,032.38 × 943,032.38
  4. Step 4: Simplify right side
    437,744.25x = 889,310,060,298.14
  5. Step 5: Solve for x
    x = 889,310,060,298.14/437,744.25
  6. Step 6: Final answer
    x = 2,031,574.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.