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Finding the Third Proportional to 437,963.63 and 941,395.13

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Solution

The third proportional to 437,963.63 and 941,395.13 is: 2,023,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,963.63 : 941,395.13 = 941,395.13 : x
  2. Step 2: Convert to fraction form
    437,963.63/941,395.13 = 941,395.13/x
  3. Step 3: Cross multiply
    437,963.63x = 941,395.13 × 941,395.13
  4. Step 4: Simplify right side
    437,963.63x = 886,224,781,373.77
  5. Step 5: Solve for x
    x = 886,224,781,373.77/437,963.63
  6. Step 6: Final answer
    x = 2,023,512.30

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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.