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Finding the Third Proportional to 456,224.63 and 941,366.25

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Solution

The third proportional to 456,224.63 and 941,366.25 is: 1,942,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,224.63 : 941,366.25 = 941,366.25 : x
  2. Step 2: Convert to fraction form
    456,224.63/941,366.25 = 941,366.25/x
  3. Step 3: Cross multiply
    456,224.63x = 941,366.25 × 941,366.25
  4. Step 4: Simplify right side
    456,224.63x = 886,170,416,639.06
  5. Step 5: Solve for x
    x = 886,170,416,639.06/456,224.63
  6. Step 6: Final answer
    x = 1,942,399.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.