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Finding the Third Proportional to 519,976 and 798,887

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Solution

The third proportional to 519,976 and 798,887 is: 1,227,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,976 : 798,887 = 798,887 : x
  2. Step 2: Convert to fraction form
    519,976/798,887 = 798,887/x
  3. Step 3: Cross multiply
    519,976x = 798,887 × 798,887
  4. Step 4: Simplify right side
    519,976x = 638,220,438,769
  5. Step 5: Solve for x
    x = 638,220,438,769/519,976
  6. Step 6: Final answer
    x = 1,227,403.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.