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Finding the Third Proportional to 519,974 and 798,883.50

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Solution

The third proportional to 519,974 and 798,883.50 is: 1,227,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,974 : 798,883.50 = 798,883.50 : x
  2. Step 2: Convert to fraction form
    519,974/798,883.50 = 798,883.50/x
  3. Step 3: Cross multiply
    519,974x = 798,883.50 × 798,883.50
  4. Step 4: Simplify right side
    519,974x = 638,214,846,572.25
  5. Step 5: Solve for x
    x = 638,214,846,572.25/519,974
  6. Step 6: Final answer
    x = 1,227,397.61

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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.