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Finding the Third Proportional to 423,398 and 601,833

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Solution

The third proportional to 423,398 and 601,833 is: 855,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,398 : 601,833 = 601,833 : x
  2. Step 2: Convert to fraction form
    423,398/601,833 = 601,833/x
  3. Step 3: Cross multiply
    423,398x = 601,833 × 601,833
  4. Step 4: Simplify right side
    423,398x = 362,202,959,889
  5. Step 5: Solve for x
    x = 362,202,959,889/423,398
  6. Step 6: Final answer
    x = 855,466.87

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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.