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Finding the Third Proportional to 442,143.75 and 947,322.75

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Solution

The third proportional to 442,143.75 and 947,322.75 is: 2,029,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,143.75 : 947,322.75 = 947,322.75 : x
  2. Step 2: Convert to fraction form
    442,143.75/947,322.75 = 947,322.75/x
  3. Step 3: Cross multiply
    442,143.75x = 947,322.75 × 947,322.75
  4. Step 4: Simplify right side
    442,143.75x = 897,420,392,667.56
  5. Step 5: Solve for x
    x = 897,420,392,667.56/442,143.75
  6. Step 6: Final answer
    x = 2,029,702.77

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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.