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Finding the Third Proportional to 519,161 and 759,031

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Solution

The third proportional to 519,161 and 759,031 is: 1,109,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,161 : 759,031 = 759,031 : x
  2. Step 2: Convert to fraction form
    519,161/759,031 = 759,031/x
  3. Step 3: Cross multiply
    519,161x = 759,031 × 759,031
  4. Step 4: Simplify right side
    519,161x = 576,128,058,961
  5. Step 5: Solve for x
    x = 576,128,058,961/519,161
  6. Step 6: Final answer
    x = 1,109,729.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.