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Finding the Third Proportional to 486,026 and 729,036

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Solution

The third proportional to 486,026 and 729,036 is: 1,093,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,026 : 729,036 = 729,036 : x
  2. Step 2: Convert to fraction form
    486,026/729,036 = 729,036/x
  3. Step 3: Cross multiply
    486,026x = 729,036 × 729,036
  4. Step 4: Simplify right side
    486,026x = 531,493,489,296
  5. Step 5: Solve for x
    x = 531,493,489,296/486,026
  6. Step 6: Final answer
    x = 1,093,549.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.