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Finding the Third Proportional to 442,035 and 675,738

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Solution

The third proportional to 442,035 and 675,738 is: 1,032,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,035 : 675,738 = 675,738 : x
  2. Step 2: Convert to fraction form
    442,035/675,738 = 675,738/x
  3. Step 3: Cross multiply
    442,035x = 675,738 × 675,738
  4. Step 4: Simplify right side
    442,035x = 456,621,844,644
  5. Step 5: Solve for x
    x = 456,621,844,644/442,035
  6. Step 6: Final answer
    x = 1,032,999.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.