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Finding the Third Proportional to 437,908.31 and 941,289.93

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Solution

The third proportional to 437,908.31 and 941,289.93 is: 2,023,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,908.31 : 941,289.93 = 941,289.93 : x
  2. Step 2: Convert to fraction form
    437,908.31/941,289.93 = 941,289.93/x
  3. Step 3: Cross multiply
    437,908.31x = 941,289.93 × 941,289.93
  4. Step 4: Simplify right side
    437,908.31x = 886,026,724,377.27
  5. Step 5: Solve for x
    x = 886,026,724,377.27/437,908.31
  6. Step 6: Final answer
    x = 2,023,315.64

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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.