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Finding the Third Proportional to 519,450.75 and 797,908.50

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Solution

The third proportional to 519,450.75 and 797,908.50 is: 1,225,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,450.75 : 797,908.50 = 797,908.50 : x
  2. Step 2: Convert to fraction form
    519,450.75/797,908.50 = 797,908.50/x
  3. Step 3: Cross multiply
    519,450.75x = 797,908.50 × 797,908.50
  4. Step 4: Simplify right side
    519,450.75x = 636,657,974,372.25
  5. Step 5: Solve for x
    x = 636,657,974,372.25/519,450.75
  6. Step 6: Final answer
    x = 1,225,636.84

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