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Finding the Third Proportional to 517,599 and 792,780.75

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Solution

The third proportional to 517,599 and 792,780.75 is: 1,214,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,599 : 792,780.75 = 792,780.75 : x
  2. Step 2: Convert to fraction form
    517,599/792,780.75 = 792,780.75/x
  3. Step 3: Cross multiply
    517,599x = 792,780.75 × 792,780.75
  4. Step 4: Simplify right side
    517,599x = 628,501,317,570.56
  5. Step 5: Solve for x
    x = 628,501,317,570.56/517,599
  6. Step 6: Final answer
    x = 1,214,263.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.