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Finding the Third Proportional to 437,966.25 and 941,400

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Solution

The third proportional to 437,966.25 and 941,400 is: 2,023,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,966.25 : 941,400 = 941,400 : x
  2. Step 2: Convert to fraction form
    437,966.25/941,400 = 941,400/x
  3. Step 3: Cross multiply
    437,966.25x = 941,400 × 941,400
  4. Step 4: Simplify right side
    437,966.25x = 886,233,960,000
  5. Step 5: Solve for x
    x = 886,233,960,000/437,966.25
  6. Step 6: Final answer
    x = 2,023,521.13

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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.