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Finding the Third Proportional to 423,424 and 601,866

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Solution

The third proportional to 423,424 and 601,866 is: 855,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,424 : 601,866 = 601,866 : x
  2. Step 2: Convert to fraction form
    423,424/601,866 = 601,866/x
  3. Step 3: Cross multiply
    423,424x = 601,866 × 601,866
  4. Step 4: Simplify right side
    423,424x = 362,242,681,956
  5. Step 5: Solve for x
    x = 362,242,681,956/423,424
  6. Step 6: Final answer
    x = 855,508.15

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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.