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Finding the Third Proportional to 597,985 and 950,923

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Solution

The third proportional to 597,985 and 950,923 is: 1,512,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,985 : 950,923 = 950,923 : x
  2. Step 2: Convert to fraction form
    597,985/950,923 = 950,923/x
  3. Step 3: Cross multiply
    597,985x = 950,923 × 950,923
  4. Step 4: Simplify right side
    597,985x = 904,254,551,929
  5. Step 5: Solve for x
    x = 904,254,551,929/597,985
  6. Step 6: Final answer
    x = 1,512,169.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.