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Finding the Third Proportional to 423,384 and 601,812

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Solution

The third proportional to 423,384 and 601,812 is: 855,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,384 : 601,812 = 601,812 : x
  2. Step 2: Convert to fraction form
    423,384/601,812 = 601,812/x
  3. Step 3: Cross multiply
    423,384x = 601,812 × 601,812
  4. Step 4: Simplify right side
    423,384x = 362,177,683,344
  5. Step 5: Solve for x
    x = 362,177,683,344/423,384
  6. Step 6: Final answer
    x = 855,435.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.