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Finding the Third Proportional to 423,452 and 601,908

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Solution

The third proportional to 423,452 and 601,908 is: 855,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,452 : 601,908 = 601,908 : x
  2. Step 2: Convert to fraction form
    423,452/601,908 = 601,908/x
  3. Step 3: Cross multiply
    423,452x = 601,908 × 601,908
  4. Step 4: Simplify right side
    423,452x = 362,293,240,464
  5. Step 5: Solve for x
    x = 362,293,240,464/423,452
  6. Step 6: Final answer
    x = 855,570.97

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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.