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Finding the Third Proportional to 435,738 and 600,036

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Solution

The third proportional to 435,738 and 600,036 is: 826,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,738 : 600,036 = 600,036 : x
  2. Step 2: Convert to fraction form
    435,738/600,036 = 600,036/x
  3. Step 3: Cross multiply
    435,738x = 600,036 × 600,036
  4. Step 4: Simplify right side
    435,738x = 360,043,201,296
  5. Step 5: Solve for x
    x = 360,043,201,296/435,738
  6. Step 6: Final answer
    x = 826,283.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.