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Finding the Third Proportional to 559,991 and 757,042

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Solution

The third proportional to 559,991 and 757,042 is: 1,023,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,991 : 757,042 = 757,042 : x
  2. Step 2: Convert to fraction form
    559,991/757,042 = 757,042/x
  3. Step 3: Cross multiply
    559,991x = 757,042 × 757,042
  4. Step 4: Simplify right side
    559,991x = 573,112,589,764
  5. Step 5: Solve for x
    x = 573,112,589,764/559,991
  6. Step 6: Final answer
    x = 1,023,431.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.