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Finding the Third Proportional to 442,806.75 and 948,604.50

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Solution

The third proportional to 442,806.75 and 948,604.50 is: 2,032,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,806.75 : 948,604.50 = 948,604.50 : x
  2. Step 2: Convert to fraction form
    442,806.75/948,604.50 = 948,604.50/x
  3. Step 3: Cross multiply
    442,806.75x = 948,604.50 × 948,604.50
  4. Step 4: Simplify right side
    442,806.75x = 899,850,497,420.25
  5. Step 5: Solve for x
    x = 899,850,497,420.25/442,806.75
  6. Step 6: Final answer
    x = 2,032,151.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.