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Finding the Third Proportional to 423,787.50 and 639,622

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Solution

The third proportional to 423,787.50 and 639,622 is: 965,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,787.50 : 639,622 = 639,622 : x
  2. Step 2: Convert to fraction form
    423,787.50/639,622 = 639,622/x
  3. Step 3: Cross multiply
    423,787.50x = 639,622 × 639,622
  4. Step 4: Simplify right side
    423,787.50x = 409,116,302,884
  5. Step 5: Solve for x
    x = 409,116,302,884/423,787.50
  6. Step 6: Final answer
    x = 965,380.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.